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If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under LMFDB.

[42] The LMFDB Collaboration, The L-functions and modular forms database, https://www.lmfdb.org, 2023, [Online; accessed 31 January 2023].

Of course you should change the year and date accessed to match your usage (the same comment applies to all the examples below). The BibTeX entry is:

@misc{lmfdb,
  shorthand    = {LMFDB},
  author       = {The {LMFDB Collaboration}},
  title        = {The {L}-functions and modular forms database},
  howpublished = {\url{https://www.lmfdb.org}},
  year         = {2020},
  note         = {[Online; accessed 31 January 2023]},
}

Then you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by

\cite[\href{https://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}

In order to make the \url and \href commands to work, one should use the hyperref package.

To cite a specific page in the LMFDB, such as the home page of the L-function of the first rank 4 elliptic curve/$\Q$ shown in the example below, you can cite it as

[42] The LMFDB Collaboration, The L-functions and modular forms database, home page of the L-function $L(s,E)$ for elliptic curve isogeny class $\texttt{234446.a}$, https://www.lmfdb.org/L/EllipticCurve/Q/234446.a/, 2020 , [Online; accessed 31 July 2020].

The BibTeX entry is:

@misc{lmfdb:234446.a,
  shorthand    = {LMFDB E234446.a},
  author       = {The {LMFDB Collaboration}},
  title        = {The {L}-functions and modular forms database, 
     Home page of the L-function $L(s,E)$ for elliptic curve isogeny class \texttt{234446.a}},
  howpublished = {\mbox{\url{https://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},
  year         = {2020},
  note         = {[Online; accessed 31 January 2023]},
}
Authors:
Knowl status:
  • Review status: beta
  • Last edited by Andrew Sutherland on 2023-01-17 18:48:27
Referred to by:
History: (expand/hide all) \r\n\r\n\r\n", 1597417736657070: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and Modular Forms Database,_ \r\n[http://www.lmfdb.org](http://www.lmfdb.org), 2020, [Online; accessed 31 July 2020].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and Modular Forms Database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and Modular Forms Database, \r\nhome page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and Modular Forms Database, \r\n     Home page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\n", 1622975248917633: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and Modular Forms Database,_ \r\n[http://www.lmfdb.org](http://www.lmfdb.org), 2020, [Online; accessed 31 July 2020].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\n", 1622975285608002: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database,_ \r\n[http://www.lmfdb.org](http://www.lmfdb.org), 2020, [Online; accessed 31 July 2020].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\n", 1623705889268194: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database,_ \r\n[http://www.lmfdb.org](http://www.lmfdb.org), 2020, [Online; accessed 31 July 2020].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The $L$-functions and modular forms database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for Elliptic Curve Isogeny Class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for elliptic curve isogeny class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\n", 1623705942310369: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database,_ \r\n[http://www.lmfdb.org](http://www.lmfdb.org), 2020, [Online; accessed 31 July 2020].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The $L$-functions and modular forms database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for elliptic curve isogeny class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for elliptic curve isogeny class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\n", 1624610455893875: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database,_ \r\n[http://www.lmfdb.org](http://www.lmfdb.org), 2020, [Online; accessed 31 July 2020].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for elliptic curve isogeny class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for elliptic curve isogeny class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 July 2020]},\r\n}
\r\n\r\n", 1673981281283662: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database,_ \r\n[https://www.lmfdb.org](http://www.lmfdb.org), 2023, [Online; accessed 31 January 2023].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database},\r\n  howpublished = {\\url{http://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 January 2023]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{http://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for elliptic curve isogeny class $\\texttt{234446.a}$_,\r\n[http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](http://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for elliptic curve isogeny class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{https://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 January 2023]},\r\n}
\r\n\r\n", 1673981307219416: "If you would like to acknowledge the LMFDB, please use a citation in the following form, alphabetized under _LMFDB_.\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database,_ \r\n[https://www.lmfdb.org](http://www.lmfdb.org), 2023, [Online; accessed 31 January 2023].\r\n\r\nOf course you should change the year and date accessed to match your usage (the same comment applies to all the examples below).\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb,\r\n  shorthand    = {LMFDB},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database},\r\n  howpublished = {\\url{https://www.lmfdb.org}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 January 2023]},\r\n}
\r\n\r\nThen you can cite a certain object much like quoting a specific theorem from a paper. For example, you may refer to the elliptic curve with LMFDB label 11a.2 by\r\n\r\n\\cite[\\href{https://www.lmfdb.org/EllipticCurve/Q/11.a2}{Elliptic Curve 11.a2}]{lmfdb}\r\n\r\nIn order to make the \\url and \\href commands to work, one should use the [hyperref](http://ctan.org/pkg/hyperref) package.\r\n\r\n----------------\r\n\r\nTo cite a specific page in the LMFDB, such as the home page of the L-function of the first\r\nrank 4 elliptic curve/$\\Q$ shown in the example below, you can cite it as\r\n\r\n[42] The LMFDB Collaboration, _The L-functions and modular forms database, \r\nhome page of the L-function $L(s,E)$ for elliptic curve isogeny class $\\texttt{234446.a}$_,\r\n[https://www.lmfdb.org/L/EllipticCurve/Q/234446.a/](https://www.lmfdb.org/L/EllipticCurve/Q/234446.a/), 2020 , [Online; accessed 31 July 2020].\r\n\r\nThe BibTeX entry is:\r\n\r\n 
@misc{lmfdb:234446.a,\r\n  shorthand    = {LMFDB E234446.a},\r\n  author       = {The {LMFDB Collaboration}},\r\n  title        = {The {L}-functions and modular forms database, \r\n     Home page of the L-function $L(s,E)$ for elliptic curve isogeny class \\texttt{234446.a}},\r\n  howpublished = {\\mbox{\\url{https://www.lmfdb.org/L/EllipticCurve/Q/234446.a/}}},\r\n  year         = {2020},\r\n  note         = {[Online; accessed 31 January 2023]},\r\n}
\r\n\r\n", }; $(function() { $("body").on("click", ".diff_button", function (evt) { evt.preventDefault(); $('#differences').toggle('slow'); var topselect = $('#lhsselect').offset().top var topoption = $('#lhsselect').find("option[value="+$('#lhsselect').val() +"]").offset().top; $('#lhsselect').scrollTop(topoption - topselect - 10); $('#compare').resize(); }); }); Differences (show/hide)