Properties

Label 3240.a
Number of curves $1$
Conductor $3240$
CM no
Rank $1$

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

Elliptic curves in class 3240.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3240.a1 3240c1 \([0, 0, 0, -108, -108]\) \(9216/5\) \(75582720\) \([]\) \(576\) \(0.20266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3240.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3240.a do not have complex multiplication.

Modular form 3240.2.a.a

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