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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 19600.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.bh1 | 19600p1 | \([0, -1, 0, -20008, -7307488]\) | \(-196/5\) | \(-22598019920000000\) | \([]\) | \(96768\) | \(1.8187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600.bh do not have complex multiplication.Modular form 19600.2.a.bh
sage: E.q_eigenform(10)