Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 26010.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.s1 26010x1 \([1, -1, 0, -104094, -12901100]\) \(-2048707405729/76800\) \(-4676106931200\) \([]\) \(126720\) \(1.5176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010.s1 has rank \(0\).

Complex multiplication

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

Modular form 26010.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} + 6 q^{11} + q^{13} + q^{14} + q^{16} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display