Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 15680.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.bh1 | 15680ck1 | \([0, -1, 0, 859, -30659]\) | \(12459008/78125\) | \(-439040000000\) | \([]\) | \(14336\) | \(0.91581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15680.bh do not have complex multiplication.Modular form 15680.2.a.bh
sage: E.q_eigenform(10)