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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 25872b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25872.a1 | 25872b1 | \([0, -1, 0, -5945, -183819]\) | \(-37811178496/2381643\) | \(-1463891159808\) | \([]\) | \(79488\) | \(1.0881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25872b do not have complex multiplication.Modular form 25872.2.a.b
sage: E.q_eigenform(10)