Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 13328.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13328.j1 13328t1 \([0, -1, 0, -72, -272]\) \(-208537/68\) \(-13647872\) \([]\) \(2304\) \(0.081609\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13328.j1 has rank \(0\).

Complex multiplication

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

Modular form 13328.2.a.j

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