Properties

Label 35739.u
Number of curves $1$
Conductor $35739$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 35739.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35739.u1 35739l1 \([0, 0, 1, 102885, -619025]\) \(512000/297\) \(-69866081509224627\) \([]\) \(474240\) \(1.9216\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739.u1 has rank \(0\).

Complex multiplication

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

Modular form 35739.2.a.u

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