Properties

Label 107800.h
Number of curves $1$
Conductor $107800$
CM no
Rank $2$

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

Elliptic curves in class 107800.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
107800.h1 107800cd1 \([0, 1, 0, -3715833, -2701252037]\) \(56243200/1331\) \(134276627292500000000\) \([]\) \(4999680\) \(2.6474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 107800.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 107800.h do not have complex multiplication.

Modular form 107800.2.a.h

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