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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 372810p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.p1 | 372810p1 | \([1, 1, 0, -405617, -99562881]\) | \(305759741604409/133224750\) | \(3215721595632750\) | \([]\) | \(4478976\) | \(1.9350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372810p do not have complex multiplication.Modular form 372810.2.a.p
sage: E.q_eigenform(10)