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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 106722bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.e1 | 106722bh1 | \([1, -1, 0, -134514, -21152356]\) | \(-395307/56\) | \(-38131291282042728\) | \([]\) | \(1520640\) | \(1.9127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106722bh do not have complex multiplication.Modular form 106722.2.a.bh
sage: E.q_eigenform(10)