Properties

Label 26520.a
Number of curves $1$
Conductor $26520$
CM no
Rank $0$

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

Elliptic curves in class 26520.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.a1 26520k1 \([0, -1, 0, -1200376, -505808999]\) \(-11955176777615838640384/182216460684375\) \(-2915463370950000\) \([]\) \(624000\) \(2.1032\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26520.a do not have complex multiplication.

Modular form 26520.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 5 q^{7} + q^{9} + 3 q^{11} - q^{13} + q^{15} - q^{17} - 7 q^{19} + O(q^{20})\)  Toggle raw display