Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 103056.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.y1 | 103056g1 | \([0, 1, 0, -1289, -23949]\) | \(-925932608512/397609371\) | \(-101787998976\) | \([]\) | \(75264\) | \(0.81972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103056.y do not have complex multiplication.Modular form 103056.2.a.y
sage: E.q_eigenform(10)