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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 43190c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 43190.f1 | 43190c1 | \([1, 1, 0, 168, -3136]\) | \(519524563319/4740534400\) | \(-4740534400\) | \([]\) | \(37632\) | \(0.53786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43190c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43190c do not have complex multiplication.Modular form 43190.2.a.c
sage: E.q_eigenform(10)