Properties

Label 26010.k
Number of curves $1$
Conductor $26010$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 26010.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.k1 26010j1 \([1, -1, 0, -474660, 125988696]\) \(-56136684668636449/2361960\) \(-497620094760\) \([]\) \(190080\) \(1.7297\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26010.k do not have complex multiplication.

Modular form 26010.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} + 5 q^{11} + q^{13} - q^{14} + q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display