Properties

Label 207936hg
Number of curves $1$
Conductor $207936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hg1")
 
E.isogeny_class()
 

Elliptic curves in class 207936hg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
207936.a1 207936hg1 \([0, 0, 0, -1975392, 1068632200]\) \(-1815478272\) \(-469561550957568\) \([]\) \(4202496\) \(2.1431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 207936hg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 207936hg do not have complex multiplication.

Modular form 207936.2.a.hg

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