Properties

Label 1324a
Number of curves $1$
Conductor $1324$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 1324a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1324.a1 1324a1 \([0, 1, 0, 3, 4]\) \(131072/331\) \(-5296\) \([]\) \(108\) \(-0.60164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1324a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1324a do not have complex multiplication.

Modular form 1324.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{5} - 4 q^{7} + q^{9} - 2 q^{11} - 6 q^{13} + 6 q^{15} - 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display