Properties

Label 35490p
Number of curves $1$
Conductor $35490$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 35490p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35490.r1 35490p1 \([1, 1, 0, -469043617, -3904644906131]\) \(82780849946780654929/133978933305000\) \(18470133684965057130945000\) \([]\) \(13628160\) \(3.7452\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35490p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35490p do not have complex multiplication.

Modular form 35490.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - q^{14} - q^{15} + q^{16} - 3 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display