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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 34914.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.h1 | 34914b1 | \([1, 1, 0, -15087, -709677]\) | \(2565726409/40986\) | \(6067398946554\) | \([]\) | \(101376\) | \(1.2529\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914.h do not have complex multiplication.Modular form 34914.2.a.h
sage: E.q_eigenform(10)