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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 4998.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4998.bh1 | 4998br1 | \([1, 0, 0, -407, 489]\) | \(152186997697/85660416\) | \(4197360384\) | \([]\) | \(3456\) | \(0.53657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4998.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4998.bh do not have complex multiplication.Modular form 4998.2.a.bh
sage: E.q_eigenform(10)