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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 249696.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249696.s1 | 249696s1 | \([0, 0, 0, 62424, 2122416]\) | \(1536\) | \(-17514077944393728\) | \([]\) | \(1327104\) | \(1.8057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249696.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 249696.s do not have complex multiplication.Modular form 249696.2.a.s
sage: E.q_eigenform(10)