Show commands:
SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 7200.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7200.bh1 | 7200bi1 | \([0, 0, 0, 15000, 1150000]\) | \(12800/27\) | \(-787320000000000\) | \([]\) | \(23040\) | \(1.5426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7200.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7200.bh do not have complex multiplication.Modular form 7200.2.a.bh
sage: E.q_eigenform(10)