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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 131043.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
131043.h1 | 131043f1 | \([1, 0, 0, -2403365, 1105388934]\) | \(51026761/11979\) | \(360417179317309994979\) | \([]\) | \(4924800\) | \(2.6562\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131043.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 131043.h do not have complex multiplication.Modular form 131043.2.a.h
sage: E.q_eigenform(10)