Properties

Label 1352a
Number of curves $1$
Conductor $1352$
CM no
Rank $1$

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

Elliptic curves in class 1352a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1352.b1 1352a1 \([0, 1, 0, -2760, -59344]\) \(-235298/13\) \(-128508962816\) \([]\) \(1344\) \(0.88944\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1352a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1352a do not have complex multiplication.

Modular form 1352.2.a.a

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