Properties

Label 13760.q
Number of curves $1$
Conductor $13760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 13760.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13760.q1 13760d1 \([0, -1, 0, -1, -255]\) \(-2/215\) \(-28180480\) \([]\) \(3584\) \(0.10840\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13760.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13760.q do not have complex multiplication.

Modular form 13760.2.a.q

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