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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 24563b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24563.c1 | 24563b1 | \([0, -1, 1, -3549, -497289]\) | \(-23068672/487403\) | \(-104479161676043\) | \([]\) | \(52800\) | \(1.3709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24563b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24563b do not have complex multiplication.Modular form 24563.2.a.b
sage: E.q_eigenform(10)