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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 331056s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.s1 | 331056s1 | \([0, 0, 0, -1050159, 529330714]\) | \(-3201694672/1172889\) | \(-46920851849673052416\) | \([]\) | \(7299072\) | \(2.4849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331056s do not have complex multiplication.Modular form 331056.2.a.s
sage: E.q_eigenform(10)