Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 26010.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.a1 26010n1 \([1, -1, 0, 405, -167675]\) \(34822511/57600000\) \(-12135225600000\) \([]\) \(63360\) \(1.1896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010.a1 has rank \(0\).

Complex multiplication

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

Modular form 26010.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3 q^{7} - q^{8} + q^{10} + q^{11} + 5 q^{13} + 3 q^{14} + q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display