Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 303450u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.u1 | 303450u1 | \([1, 1, 0, -903275, -200292675]\) | \(18694465225/6858432\) | \(29901723785995320000\) | \([]\) | \(13571712\) | \(2.4373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450u do not have complex multiplication.Modular form 303450.2.a.u
sage: E.q_eigenform(10)