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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 29232.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29232.h1 | 29232o1 | \([0, 0, 0, -187851, 36418394]\) | \(-491028574078226/99607139289\) | \(-148712662101362688\) | \([]\) | \(345600\) | \(2.0175\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29232.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 29232.h do not have complex multiplication.Modular form 29232.2.a.h
sage: E.q_eigenform(10)