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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 110670.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 110670.cc1 | 110670ca1 | \([1, 0, 0, 269, -15265]\) | \(2152185214031/102206069070\) | \(-102206069070\) | \([]\) | \(128160\) | \(0.79227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110670.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110670.cc do not have complex multiplication.Modular form 110670.2.a.cc
sage: E.q_eigenform(10)