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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 338100h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.h1 | 338100h1 | \([0, -1, 0, -2095158, 1167973437]\) | \(705748443904/345\) | \(497214086250000\) | \([]\) | \(7257600\) | \(2.1550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100h do not have complex multiplication.Modular form 338100.2.a.h
sage: E.q_eigenform(10)