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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 372810.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.ca1 | 372810ca1 | \([1, 1, 1, -16951590, -26871229245]\) | \(-4542707150940113/116100000\) | \(-13768052461301700000\) | \([]\) | \(19910400\) | \(2.7797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.ca do not have complex multiplication.Modular form 372810.2.a.ca
sage: E.q_eigenform(10)