Show commands:
SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 450800.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 450800.bg1 | 450800bg1 | \([0, 1, 0, -62883, 6792988]\) | \(-19081216/2875\) | \(-4143450718750000\) | \([]\) | \(2612736\) | \(1.7262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800.bg do not have complex multiplication.Modular form 450800.2.a.bg
sage: E.q_eigenform(10)