Properties

Label 35739s
Number of curves $1$
Conductor $35739$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 35739s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35739.f1 35739s1 \([1, -1, 1, 68161, -96051400]\) \(2828663/323433\) \(-4004429619133979937\) \([]\) \(656640\) \(2.2489\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35739s do not have complex multiplication.

Modular form 35739.2.a.s

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