Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 450800bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.bh1 | 450800bh1 | \([0, 1, 0, 327, 14083]\) | \(1024/23\) | \(-86589664000\) | \([]\) | \(464640\) | \(0.77896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800bh do not have complex multiplication.Modular form 450800.2.a.bh
sage: E.q_eigenform(10)