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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 107800.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
107800.h1 | 107800cd1 | \([0, 1, 0, -3715833, -2701252037]\) | \(56243200/1331\) | \(134276627292500000000\) | \([]\) | \(4999680\) | \(2.6474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 107800.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 107800.h do not have complex multiplication.Modular form 107800.2.a.h
sage: E.q_eigenform(10)