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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 150075h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.h1 | 150075h1 | \([0, 0, 1, -150870, 17062231]\) | \(4167684567498752/1031731305849\) | \(94016515245490125\) | \([]\) | \(1003520\) | \(1.9672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075h do not have complex multiplication.Modular form 150075.2.a.h
sage: E.q_eigenform(10)