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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 33880.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33880.h1 | 33880n1 | \([0, -1, 0, -161, -6059]\) | \(-1024/35\) | \(-15873186560\) | \([]\) | \(19040\) | \(0.63762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33880.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33880.h do not have complex multiplication.Modular form 33880.2.a.h
sage: E.q_eigenform(10)