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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 24546b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24546.b1 | 24546b1 | \([1, 0, 1, -66961, 7695332]\) | \(-33203218336044207625/6404524235292672\) | \(-6404524235292672\) | \([]\) | \(137640\) | \(1.7566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24546b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24546b do not have complex multiplication.Modular form 24546.2.a.b
sage: E.q_eigenform(10)