Properties

Label 3234l
Number of curves $1$
Conductor $3234$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 3234l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3234.j1 3234l1 \([1, 0, 1, -271, -4798]\) \(-44681709625/175177728\) \(-8583708672\) \([]\) \(1920\) \(0.59153\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3234l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3234l do not have complex multiplication.

Modular form 3234.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} - q^{11} + q^{12} - 4 q^{13} + q^{16} + q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display