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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 152592.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152592.s1 | 152592bw1 | \([0, -1, 0, -1781781, -924101091]\) | \(-75759616/891\) | \(-7357442315469041664\) | \([]\) | \(2820096\) | \(2.4328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152592.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 152592.s do not have complex multiplication.Modular form 152592.2.a.s
sage: E.q_eigenform(10)