Properties

Label 16744h
Number of curves $1$
Conductor $16744$
CM no
Rank $1$

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

Elliptic curves in class 16744h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16744.b1 16744h1 \([0, 1, 0, -1177, -14757]\) \(704988556288/59778173\) \(15303212288\) \([]\) \(13120\) \(0.69576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16744h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16744h do not have complex multiplication.

Modular form 16744.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 2 q^{5} - q^{7} + q^{9} - 3 q^{11} + q^{13} - 4 q^{15} + 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display