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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 163592s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163592.bk1 | 163592s1 | \([0, 1, 0, -334000, 77650912]\) | \(-235298/13\) | \(-227661466675275776\) | \([]\) | \(1881600\) | \(2.0884\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163592s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163592s do not have complex multiplication.Modular form 163592.2.a.s
sage: E.q_eigenform(10)