Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 35739.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35739.h1 35739t1 \([0, 0, 1, -4332, -248639]\) \(-262144/627\) \(-21503872425123\) \([]\) \(80640\) \(1.2464\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35739.h1 has rank \(0\).

Complex multiplication

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

Modular form 35739.2.a.h

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