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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 122199h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122199.j1 | 122199h1 | \([0, -1, 1, -85874, 273869153]\) | \(-473093337088/218558899251\) | \(-32354560949483219139\) | \([]\) | \(4055040\) | \(2.4227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122199h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122199h do not have complex multiplication.Modular form 122199.2.a.h
sage: E.q_eigenform(10)