Properties

Label 35574.n
Number of curves $1$
Conductor $35574$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 35574.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35574.n1 35574f1 \([1, 1, 0, -190929, -36207387]\) \(-2047314227/314928\) \(-118404915103922832\) \([]\) \(508032\) \(2.0051\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35574.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35574.n do not have complex multiplication.

Modular form 35574.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 2 q^{5} + q^{6} - q^{8} + q^{9} - 2 q^{10} - q^{12} + 6 q^{13} - 2 q^{15} + q^{16} + 3 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display