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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 36414.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.s1 | 36414j1 | \([1, -1, 0, -137040, -25447168]\) | \(-599077107/243712\) | \(-115787515299047424\) | \([]\) | \(304128\) | \(1.9827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.s do not have complex multiplication.Modular form 36414.2.a.s
sage: E.q_eigenform(10)