Show commands:
SageMath
E = EllipticCurve("ju1")
E.isogeny_class()
Elliptic curves in class 177450ju
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.k1 | 177450ju1 | \([1, 1, 0, -19293550, 32399576500]\) | \(368728437337/2752512\) | \(5929018017441792000000\) | \([]\) | \(19009536\) | \(3.0082\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450ju1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450ju do not have complex multiplication.Modular form 177450.2.a.ju
sage: E.q_eigenform(10)