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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Results (20 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
29700.d2	29700bv1	29700.d	29700bv	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.2	3B.1.2	$66$	$16$	$0$	$1$	$1$		$0$	$10368$	$0.348272$	$4665600/1331$	$0.83964$	$2.70533$	$[0, 0, 0, -225, 925]$	$y^2=x^3-225x+925$	3.8.0-3.a.1.1, 66.16.0-66.b.1.2	$[]$
29700.f2	29700cb1	29700.f	29700cb	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 11^{3} $	$1$	$\Z/3\Z$	$\Q$	$\mathrm{SU}(2)$	$3$	3.8.0.1	3B.1.1	$66$	$16$	$0$	$0.658324334$	$1$		$12$	$31104$	$0.897578$	$4665600/1331$	$0.83964$	$3.34536$	$[0, 0, 0, -2025, -24975]$	$y^2=x^3-2025x-24975$	3.8.0-3.a.1.2, 66.16.0-66.b.1.4	$[(-35, 55)]$
29700.bx2	29700g1	29700.bx	29700g	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$330$	$16$	$0$	$1$	$1$		$0$	$51840$	$1.152992$	$4665600/1331$	$0.83964$	$3.64296$	$[0, 0, 0, -5625, 115625]$	$y^2=x^3-5625x+115625$	3.4.0.a.1, 15.8.0-3.a.1.1, 66.8.0.b.1, 330.16.0.?	$[]$
29700.ca2	29700o1	29700.ca	29700o	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$330$	$16$	$0$	$6.878897366$	$1$		$0$	$155520$	$1.702297$	$4665600/1331$	$0.83964$	$4.28300$	$[0, 0, 0, -50625, -3121875]$	$y^2=x^3-50625x-3121875$	3.4.0.a.1, 15.8.0-3.a.1.2, 66.8.0.b.1, 330.16.0.?	$[(-1724/5, 25399/5)]$
118800.p2	118800gu1	118800.p	118800gu	$2$	$3$	$ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$660$	$16$	$0$	$3.798714022$	$1$		$2$	$622080$	$1.702297$	$4665600/1331$	$0.83964$	$3.77488$	$[0, 0, 0, -50625, 3121875]$	$y^2=x^3-50625x+3121875$	3.4.0.a.1, 60.8.0-3.a.1.2, 66.8.0.b.1, 660.16.0.?	$[(66, 261)]$
118800.ba2	118800hu1	118800.ba	118800hu	$2$	$3$	$ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$660$	$16$	$0$	$1$	$1$		$0$	$207360$	$1.152992$	$4665600/1331$	$0.83964$	$3.21077$	$[0, 0, 0, -5625, -115625]$	$y^2=x^3-5625x-115625$	3.4.0.a.1, 60.8.0-3.a.1.1, 66.8.0.b.1, 660.16.0.?	$[]$
118800.ik2	118800ex1	118800.ik	118800ex	$2$	$3$	$ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$132$	$16$	$0$	$3.235595821$	$1$		$2$	$124416$	$0.897578$	$4665600/1331$	$0.83964$	$2.94848$	$[0, 0, 0, -2025, 24975]$	$y^2=x^3-2025x+24975$	3.4.0.a.1, 12.8.0-3.a.1.1, 66.8.0.b.1, 132.16.0.?	$[(-50, 35)]$
118800.iu2	118800fq1	118800.iu	118800fq	$2$	$3$	$ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$132$	$16$	$0$	$1$	$1$		$0$	$41472$	$0.348272$	$4665600/1331$	$0.83964$	$2.38438$	$[0, 0, 0, -225, -925]$	$y^2=x^3-225x-925$	3.4.0.a.1, 12.8.0-3.a.1.2, 66.8.0.b.1, 132.16.0.?	$[]$
326700.t2	326700t1	326700.t	326700t	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} $	$ 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$330$	$16$	$0$	$4.814115818$	$1$		$2$	$18662400$	$2.901245$	$4665600/1331$	$0.83964$	$4.60727$	$[0, 0, 0, -6125625, 4155215625]$	$y^2=x^3-6125625x+4155215625$	3.4.0.a.1, 30.8.0-3.a.1.2, 66.8.0.b.1, 165.8.0.?, 330.16.0.?	$[(12331, 1342979)]$
326700.w2	326700w1	326700.w	326700w	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} $	$ 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$330$	$16$	$0$	$20.72415289$	$1$		$0$	$6220800$	$2.351940$	$4665600/1331$	$0.83964$	$4.08811$	$[0, 0, 0, -680625, -153896875]$	$y^2=x^3-680625x-153896875$	3.4.0.a.1, 30.8.0-3.a.1.1, 66.8.0.b.1, 165.8.0.?, 330.16.0.?	$[(-498460564/1165, 10786145705441/1165)]$
326700.fh2	326700fh1	326700.fh	326700fh	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} $	$ 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$66$	$16$	$0$	$4.487244844$	$1$		$2$	$1244160$	$1.547220$	$4665600/1331$	$0.83964$	$3.32755$	$[0, 0, 0, -27225, -1231175]$	$y^2=x^3-27225x-1231175$	3.4.0.a.1, 6.8.0-3.a.1.1, 33.8.0-3.a.1.1, 66.16.0-66.b.1.3	$[(-51, 157)]$
326700.fk2	326700fk1	326700.fk	326700fk	$2$	$3$	$ 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} $	$ 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 11^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$66$	$16$	$0$	$1.109367185$	$1$		$0$	$3732480$	$2.096527$	$4665600/1331$	$0.83964$	$3.84671$	$[0, 0, 0, -245025, 33241725]$	$y^2=x^3-245025x+33241725$	3.4.0.a.1, 6.8.0-3.a.1.2, 33.8.0-3.a.1.2, 66.16.0-66.b.1.1	$[(2145/2, 59895/2)]$
475200.ba2	475200ba1	475200.ba	475200ba	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$264$	$16$	$0$	$1$	$1$		$0$	$995328$	$1.244152$	$4665600/1331$	$0.83964$	$2.95394$	$[0, 0, 0, -8100, -199800]$	$y^2=x^3-8100x-199800$	3.4.0.a.1, 24.8.0-3.a.1.2, 66.8.0.b.1, 264.16.0.?	$[]$
475200.be2	475200be1	475200.be	475200be	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5^{10} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1320$	$16$	$0$	$1$	$1$		$0$	$1658880$	$1.499565$	$4665600/1331$	$0.83964$	$3.18842$	$[0, 0, 0, -22500, -925000]$	$y^2=x^3-22500x-925000$	3.4.0.a.1, 66.8.0.b.1, 120.8.0.?, 1320.16.0.?	$[]$
475200.bv2	475200bv1	475200.bv	475200bv	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$264$	$16$	$0$	$0.671491733$	$1$		$2$	$331776$	$0.694846$	$4665600/1331$	$0.83964$	$2.44967$	$[0, 0, 0, -900, 7400]$	$y^2=x^3-900x+7400$	3.4.0.a.1, 24.8.0-3.a.1.1, 66.8.0.b.1, 264.16.0.?	$[(5, 55)]$
475200.bz2	475200bz1	475200.bz	475200bz	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5^{10} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1320$	$16$	$0$	$7.099931965$	$1$		$0$	$4976640$	$2.048870$	$4665600/1331$	$0.83964$	$3.69270$	$[0, 0, 0, -202500, 24975000]$	$y^2=x^3-202500x+24975000$	3.4.0.a.1, 66.8.0.b.1, 120.8.0.?, 1320.16.0.?	$[(-3131/3, 197153/3)]$
475200.uq2	475200uq1	475200.uq	475200uq	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$264$	$16$	$0$	$1$	$1$		$0$	$331776$	$0.694846$	$4665600/1331$	$0.83964$	$2.44967$	$[0, 0, 0, -900, -7400]$	$y^2=x^3-900x-7400$	3.4.0.a.1, 24.8.0-3.a.1.3, 66.8.0.b.1, 264.16.0.?	$[]$
475200.uu2	475200uu1	475200.uu	475200uu	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5^{10} \cdot 11^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1320$	$16$	$0$	$1$	$9$	$3$	$0$	$4976640$	$2.048870$	$4665600/1331$	$0.83964$	$3.69270$	$[0, 0, 0, -202500, -24975000]$	$y^2=x^3-202500x-24975000$	3.4.0.a.1, 66.8.0.b.1, 120.8.0.?, 1320.16.0.?	$[]$
475200.vl2	475200vl1	475200.vl	475200vl	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$264$	$16$	$0$	$1.752011344$	$1$		$2$	$995328$	$1.244152$	$4665600/1331$	$0.83964$	$2.95394$	$[0, 0, 0, -8100, 199800]$	$y^2=x^3-8100x+199800$	3.4.0.a.1, 24.8.0-3.a.1.4, 66.8.0.b.1, 264.16.0.?	$[(-51, 693)]$
475200.vp2	475200vp1	475200.vp	475200vp	$2$	$3$	$ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5^{10} \cdot 11^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$1320$	$16$	$0$	$7.451923209$	$1$		$0$	$1658880$	$1.499565$	$4665600/1331$	$0.83964$	$3.18842$	$[0, 0, 0, -22500, 925000]$	$y^2=x^3-22500x+925000$	3.4.0.a.1, 66.8.0.b.1, 120.8.0.?, 1320.16.0.?	$[(-1371/7, 424633/7)]$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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