Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 112710bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.x1 | 112710bh1 | \([1, 0, 1, -3619, -99874]\) | \(-62736640489/14976000\) | \(-1250810496000\) | \([]\) | \(190080\) | \(1.0401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710bh do not have complex multiplication.Modular form 112710.2.a.bh
sage: E.q_eigenform(10)