Show commands:
SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 15210.bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15210.bn1 | 15210bd1 | \([1, -1, 1, -641387, -232123589]\) | \(-1817378667/400000\) | \(-6422411112577200000\) | \([]\) | \(262080\) | \(2.3295\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15210.bn do not have complex multiplication.Modular form 15210.2.a.bn
sage: E.q_eigenform(10)