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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 122034h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122034.h1 | 122034h1 | \([1, 1, 1, -108205, 19424099]\) | \(-22164361129/13077504\) | \(-82667650558749696\) | \([]\) | \(1330560\) | \(1.9486\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122034h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122034h do not have complex multiplication.Modular form 122034.2.a.h
sage: E.q_eigenform(10)