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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 40733h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40733.h1 | 40733h1 | \([1, -1, 0, -133936, 13676113]\) | \(1794942305577/495598411\) | \(73366351359372379\) | \([]\) | \(675840\) | \(1.9437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40733h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40733h do not have complex multiplication.Modular form 40733.2.a.h
sage: E.q_eigenform(10)