Properties

Label 135520k
Number of curves $1$
Conductor $135520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 135520k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135520.q1 135520k1 \([0, -1, 0, -36461, 2694661]\) \(-738763264/875\) \(-6349274624000\) \([]\) \(274560\) \(1.3682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135520k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 135520k do not have complex multiplication.

Modular form 135520.2.a.k

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