Show commands:
SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 209088.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209088.bn1 | 209088cl1 | \([0, 0, 0, -726, 7986]\) | \(-13824\) | \(-3061257408\) | \([]\) | \(103680\) | \(0.56977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209088.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209088.bn do not have complex multiplication.Modular form 209088.2.a.bn
sage: E.q_eigenform(10)