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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 7942.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7942.s1 | 7942m1 | \([1, 1, 1, -2715, 34013]\) | \(130321/44\) | \(747276773804\) | \([]\) | \(13680\) | \(0.98063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7942.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7942.s do not have complex multiplication.Modular form 7942.2.a.s
sage: E.q_eigenform(10)