Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 88725u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.n1 | 88725u1 | \([1, 1, 1, -4491263, 3631577906]\) | \(1257715225/11907\) | \(94852594677216796875\) | \([]\) | \(3369600\) | \(2.6539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88725u do not have complex multiplication.Modular form 88725.2.a.u
sage: E.q_eigenform(10)