Show commands:
SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 338100bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.bn1 | 338100bn1 | \([0, -1, 0, -34708, 757912]\) | \(393040/207\) | \(2435334300000000\) | \([]\) | \(1425600\) | \(1.6440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100bn do not have complex multiplication.Modular form 338100.2.a.bn
sage: E.q_eigenform(10)