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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 15138h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15138.m1 | 15138h1 | \([1, -1, 0, -8988, -471052]\) | \(-185193/116\) | \(-50300639317044\) | \([]\) | \(47040\) | \(1.3307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15138h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15138h do not have complex multiplication.Modular form 15138.2.a.h
sage: E.q_eigenform(10)