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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 77658.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77658.s1 | 77658o1 | \([1, 0, 1, -667528, 209397374]\) | \(65450827/168\) | \(84435558805389624\) | \([]\) | \(1543872\) | \(2.1241\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77658.s do not have complex multiplication.Modular form 77658.2.a.s
sage: E.q_eigenform(10)