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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 2450.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2450.bh1 | 2450bg1 | \([1, -1, 1, 750, -144623]\) | \(1323/256\) | \(-9039207968000\) | \([]\) | \(8064\) | \(1.1653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2450.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2450.bh do not have complex multiplication.Modular form 2450.2.a.bh
sage: E.q_eigenform(10)