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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 290145c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.c1 | 290145c1 | \([0, 1, 1, -13736, -203530]\) | \(481890304/250125\) | \(148780183165125\) | \([]\) | \(1209600\) | \(1.4114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 290145c do not have complex multiplication.Modular form 290145.2.a.c
sage: E.q_eigenform(10)