Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 380926.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 380926.u1 | 380926u1 | \([1, 0, 1, -30441129, -58305460692]\) | \(663399010729/71639296\) | \(336885600205700553769216\) | \([]\) | \(62060544\) | \(3.2485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380926.u do not have complex multiplication.Modular form 380926.2.a.u
sage: E.q_eigenform(10)