Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 15680.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.ce1 15680cf1 \([0, 1, 0, -261, 12515]\) \(-1024/35\) \(-67464642560\) \([]\) \(12288\) \(0.75820\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.ce1 has rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.ce

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