Properties

Label 35739m
Number of curves $1$
Conductor $35739$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 35739m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35739.b1 35739m1 \([0, 0, 1, 285, 90]\) \(512000/297\) \(-1485062667\) \([]\) \(24960\) \(0.44935\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739m1 has rank \(2\).

Complex multiplication

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

Modular form 35739.2.a.m

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