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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 25920b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25920.s1 | 25920b1 | \([0, 0, 0, -108, 378]\) | \(36864/5\) | \(18895680\) | \([]\) | \(5760\) | \(0.12338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25920b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25920b do not have complex multiplication.Modular form 25920.2.a.b
sage: E.q_eigenform(10)