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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 45864r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
45864.y1 | 45864r1 | \([0, 0, 0, -7203, -246274]\) | \(-235298/13\) | \(-2283437205504\) | \([]\) | \(56160\) | \(1.1292\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 45864r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 45864r do not have complex multiplication.Modular form 45864.2.a.r
sage: E.q_eigenform(10)