Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 88445.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.u1 | 88445bm1 | \([0, 0, 1, -1733522, 1066332720]\) | \(-43352064/11875\) | \(-157810401280055006875\) | \([]\) | \(1693440\) | \(2.5916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445.u do not have complex multiplication.Modular form 88445.2.a.u
sage: E.q_eigenform(10)