Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 26520.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.i1 26520q1 \([0, -1, 0, 1295, -10043]\) \(937470577664/698407515\) \(-178792323840\) \([]\) \(28224\) \(0.84735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.i1 has rank \(0\).

Complex multiplication

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

Modular form 26520.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} - 2 q^{11} + q^{13} - q^{15} - q^{17} - 6 q^{19} + O(q^{20})\)  Toggle raw display