Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 10304.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10304.y1 | 10304bc1 | \([0, 1, 0, 23, 367]\) | \(1257728/55223\) | \(-56548352\) | \([]\) | \(1536\) | \(0.16735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10304.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10304.y do not have complex multiplication.Modular form 10304.2.a.y
sage: E.q_eigenform(10)