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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 25872bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25872.bc1 | 25872bl1 | \([0, -1, 0, 1748, -19172]\) | \(47061251888/39135393\) | \(-490914369792\) | \([]\) | \(28800\) | \(0.93101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25872bl do not have complex multiplication.Modular form 25872.2.a.bl
sage: E.q_eigenform(10)