Properties

Label 145600.cu
Number of curves $1$
Conductor $145600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 145600.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145600.cu1 145600ff1 \([0, -1, 0, -2341633, 1448091137]\) \(-693346671296498/40610171875\) \(-83169632000000000000\) \([]\) \(4792320\) \(2.5783\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145600.cu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 145600.cu do not have complex multiplication.

Modular form 145600.2.a.cu

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2 q^{9} - 5 q^{11} - q^{13} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display