Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 26520.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.j1 26520v1 \([0, -1, 0, -141440, -39042900]\) \(-152796558778456322/233895263671875\) \(-479017500000000000\) \([]\) \(299520\) \(2.0841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.j1 has rank \(1\).

Complex multiplication

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

Modular form 26520.2.a.j

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