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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3610c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3610.e1 | 3610c1 | \([1, -1, 0, -17215, -924019]\) | \(-11993263569/972800\) | \(-45766233036800\) | \([]\) | \(31680\) | \(1.3674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3610c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3610c do not have complex multiplication.Modular form 3610.2.a.c
sage: E.q_eigenform(10)