Properties

Label 15680.cu
Number of curves $1$
Conductor $15680$
CM no
Rank $0$

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

Elliptic curves in class 15680.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.cu1 15680be1 \([0, 1, 0, 7775, -1629377]\) \(137564/3125\) \(-1180631244800000\) \([]\) \(53760\) \(1.5723\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.cu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 15680.cu do not have complex multiplication.

Modular form 15680.2.a.cu

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} + 2 q^{11} - 4 q^{13} + q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display