Show commands:
SageMath
E = EllipticCurve("hb1")
E.isogeny_class()
Elliptic curves in class 310464hb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.hb1 | 310464hb1 | \([0, 0, 0, 1434132, -2362147704]\) | \(137566156032/1096135733\) | \(-2599224696361314008064\) | \([]\) | \(12386304\) | \(2.7906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464hb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464hb do not have complex multiplication.Modular form 310464.2.a.hb
sage: E.q_eigenform(10)