Properties

Label 35234d
Number of curves $1$
Conductor $35234$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 35234d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35234.f1 35234d1 \([1, 1, 1, -6480, 192049]\) \(30092129251441921/1029856559104\) \(1029856559104\) \([]\) \(57888\) \(1.0769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35234d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 35234d do not have complex multiplication.

Modular form 35234.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} + q^{10} - 2 q^{11} - q^{12} - 5 q^{13} - q^{14} - q^{15} + q^{16} - 8 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display