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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 121275.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.s1 | 121275bj1 | \([0, 0, 1, -80325, -203216344]\) | \(-3803369472/1181640625\) | \(-17807084197998046875\) | \([]\) | \(3179520\) | \(2.3730\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275.s do not have complex multiplication.Modular form 121275.2.a.s
sage: E.q_eigenform(10)