Properties

Label 75810.cu
Number of curves $1$
Conductor $75810$
CM no
Rank $0$

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Show commands: 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)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - q^{10} - q^{11} + q^{12} - 5 q^{13} - q^{14} - q^{15} + q^{16} - 3 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display