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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 79350.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.s1 | 79350s1 | \([1, 1, 0, -391923150, 3082973685300]\) | \(-257139080970025/9795520512\) | \(-253621400208685496167680000\) | \([]\) | \(38763648\) | \(3.8364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350.s do not have complex multiplication.Modular form 79350.2.a.s
sage: E.q_eigenform(10)