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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2592f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2592.c1 | 2592f1 | \([0, 0, 0, -108, -864]\) | \(-576\) | \(-241864704\) | \([]\) | \(576\) | \(0.29914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2592f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2592f do not have complex multiplication.Modular form 2592.2.a.f
sage: E.q_eigenform(10)