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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 350658.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.s1 | 350658s1 | \([1, -1, 0, 4515, 312197]\) | \(212776173/1009792\) | \(-48300519383424\) | \([]\) | \(940800\) | \(1.3080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.s do not have complex multiplication.Modular form 350658.2.a.s
sage: E.q_eigenform(10)