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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 260100bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
260100.bh1 | 260100bh1 | \([0, 0, 0, -499283625, -4308378584375]\) | \(-5095042816/19683\) | \(-53175200349466836843750000\) | \([]\) | \(84602880\) | \(3.7947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 260100bh do not have complex multiplication.Modular form 260100.2.a.bh
sage: E.q_eigenform(10)