Properties

Label 43758.h
Number of curves $1$
Conductor $43758$
CM no
Rank $1$

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

Elliptic curves in class 43758.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43758.h1 43758g1 \([1, -1, 0, 10296, 286318912]\) \(165568631260031/48580832601759744\) \(-35415426966682853376\) \([]\) \(1025024\) \(2.4300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43758.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43758.h do not have complex multiplication.

Modular form 43758.2.a.h

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