Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 35739.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35739.i1 35739g1 \([0, 0, 1, -456, 9115]\) \(-56623104/161051\) \(-29825517843\) \([]\) \(24000\) \(0.69699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739.i1 has rank \(2\).

Complex multiplication

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

Modular form 35739.2.a.i

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