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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 277350s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.s1 | 277350s1 | \([1, 1, 0, -19669700, 1823661474000]\) | \(-7373425/12582912\) | \(-1436246050111610880000000000\) | \([]\) | \(116812080\) | \(3.8900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350s do not have complex multiplication.Modular form 277350.2.a.s
sage: E.q_eigenform(10)