Show commands:
SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 102850bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.o1 | 102850bn1 | \([1, 1, 0, 3925, -7265375]\) | \(28284883/96550276\) | \(-22817545695312500\) | \([]\) | \(748800\) | \(1.8178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850bn do not have complex multiplication.Modular form 102850.2.a.bn
sage: E.q_eigenform(10)