Properties

Label 13552.g
Number of curves $1$
Conductor $13552$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 13552.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13552.g1 13552j1 \([0, -1, 0, 241355, 77200169]\) \(2575826944/5764801\) \(-3479833396998269696\) \([]\) \(152064\) \(2.2419\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13552.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13552.g do not have complex multiplication.

Modular form 13552.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - q^{15} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display