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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 58800.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.h1 | 58800gc1 | \([0, -1, 0, -489918, 132151167]\) | \(-805661175040/729\) | \(-11767111801200\) | \([]\) | \(387072\) | \(1.8063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.h do not have complex multiplication.Modular form 58800.2.a.h
sage: E.q_eigenform(10)