Properties

Label 13200.cc
Number of curves $1$
Conductor $13200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 13200.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13200.cc1 13200ct1 \([0, 1, 0, 6667, -129537]\) \(327680000/264627\) \(-26462700000000\) \([]\) \(20160\) \(1.2634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13200.cc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13200.cc do not have complex multiplication.

Modular form 13200.2.a.cc

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