Properties

Label 13328.h
Number of curves $1$
Conductor $13328$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 13328.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13328.h1 13328i1 \([0, -1, 0, -213460, -53246164]\) \(-728871512656/410338673\) \(-605573322866962688\) \([]\) \(225792\) \(2.1153\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13328.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13328.h do not have complex multiplication.

Modular form 13328.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - 2 q^{9} + 3 q^{11} - 5 q^{13} + 4 q^{15} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display