Show commands:
SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 331240.bn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331240.bn1 | 331240bn1 | \([0, 1, 0, -193910656, -1090715927456]\) | \(-693346671296498/40610171875\) | \(-47229476716365218912000000\) | \([]\) | \(100638720\) | \(3.6824\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331240.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331240.bn do not have complex multiplication.Modular form 331240.2.a.bn
sage: E.q_eigenform(10)