Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 25806b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25806.e1 | 25806b1 | \([1, 0, 1, -17860, -963646]\) | \(-629989223007953593/35345595428352\) | \(-35345595428352\) | \([]\) | \(103680\) | \(1.3570\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25806b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25806b do not have complex multiplication.Modular form 25806.2.a.b
sage: E.q_eigenform(10)