Properties

Label 13520d
Number of curves $1$
Conductor $13520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 13520d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13520.r1 13520d1 \([0, 1, 0, -56, -181]\) \(7311616/25\) \(67600\) \([]\) \(1536\) \(-0.20972\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13520d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13520d do not have complex multiplication.

Modular form 13520.2.a.d

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