Properties

Label 13520l
Number of curves $1$
Conductor $13520$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 13520l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13520.g1 13520l1 \([0, 1, 0, -9520, 1839540]\) \(-338/5\) \(-1411670956533760\) \([]\) \(74880\) \(1.5884\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13520l1 has rank \(0\).

Complex multiplication

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

Modular form 13520.2.a.l

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