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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 75810.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.cu1 | 75810cx1 | \([1, 0, 0, -3156411, 2158332435]\) | \(-73923540638379769/6466493250\) | \(-304221871926803250\) | \([]\) | \(2419200\) | \(2.3960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810.cu do not have complex multiplication.Modular form 75810.2.a.cu
sage: E.q_eigenform(10)