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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 47432.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.h1 | 47432o1 | \([0, -1, 0, -1976, -30743]\) | \(12544\) | \(68056287376\) | \([]\) | \(32400\) | \(0.82207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47432.h do not have complex multiplication.Modular form 47432.2.a.h
sage: E.q_eigenform(10)