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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 274014.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274014.s1 | 274014s1 | \([1, -1, 1, -356, 1239]\) | \(6826561273/3166384\) | \(2308293936\) | \([]\) | \(295680\) | \(0.49123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274014.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 274014.s do not have complex multiplication.Modular form 274014.2.a.s
sage: E.q_eigenform(10)