Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 94640y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.z1 | 94640y1 | \([0, -1, 0, 1465, -24818]\) | \(26624/35\) | \(-456809203760\) | \([]\) | \(94848\) | \(0.92315\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640y do not have complex multiplication.Modular form 94640.2.a.y
sage: E.q_eigenform(10)