Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 74025.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74025.u1 | 74025f1 | \([0, 0, 1, -34150800, -76815601594]\) | \(-10441011330958888009728/128515625\) | \(-54217529296875\) | \([]\) | \(1769472\) | \(2.6521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74025.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74025.u do not have complex multiplication.Modular form 74025.2.a.u
sage: E.q_eigenform(10)