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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 466752.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466752.s1 | 466752s1 | \([0, -1, 0, 351, 37665]\) | \(18191447/2362932\) | \(-619428446208\) | \([]\) | \(460800\) | \(0.94202\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466752.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466752.s do not have complex multiplication.Modular form 466752.2.a.s
sage: E.q_eigenform(10)