Properties

Label 15680.cn
Number of curves $1$
Conductor $15680$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("cn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.cn1 15680l1 \([0, 1, 0, -23781, -1422205]\) \(-2249728/5\) \(-3305767485440\) \([]\) \(43008\) \(1.2850\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 15680.cn do not have complex multiplication.

Modular form 15680.2.a.cn

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