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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 466578.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.bh1 | 466578bh1 | \([1, -1, 0, -41085, -4381371]\) | \(-17647062167/8957952\) | \(-3893281870270464\) | \([]\) | \(2322432\) | \(1.6963\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.bh do not have complex multiplication.Modular form 466578.2.a.bh
sage: E.q_eigenform(10)