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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 912c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 912.i1 | 912c1 | \([0, 1, 0, 55, -93]\) | \(70575104/61731\) | \(-15803136\) | \([]\) | \(192\) | \(0.068805\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 912c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 912c do not have complex multiplication.Modular form 912.2.a.c
sage: E.q_eigenform(10)