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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 1425.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1425.h1 | 1425f1 | \([1, 0, 1, 11549, 333923]\) | \(17446602575/15000633\) | \(-146490556640625\) | \([]\) | \(5040\) | \(1.4057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1425.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1425.h do not have complex multiplication.Modular form 1425.2.a.h
sage: E.q_eigenform(10)