Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 26520.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26520.be1 26520h1 \([0, 1, 0, -13345, -5497117]\) \(-1026767289066496/50316682419315\) \(-12881070699344640\) \([]\) \(212160\) \(1.7712\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26520.be1 has rank \(1\).

Complex multiplication

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

Modular form 26520.2.a.be

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