Elliptic curve isogeny class with Cremona label 14520y (LMFDB label 14520.br)

• Label: 14520y
• Number of curves: $4$
• Conductor: $14520$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 14520y have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1 + T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14520y do not have complex multiplication.

Modular form 14520.2.a.y

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 14520y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14520.br3	14520y1	\([0, 1, 0, -413255, -102343122]\)	\(275361373935616/148240125\)	\(4201862785362000\)	\([2]\)	\(184320\)	\(1.9470\)	\(\Gamma_0(N)\)-optimal
14520.br2	14520y2	\([0, 1, 0, -486460, -63661600]\)	\(28071778927696/12404390625\)	\(5625634472964000000\)	\([2, 2]\)	\(368640\)	\(2.2936\)
14520.br1	14520y3	\([0, 1, 0, -3813960, 2821946400]\)	\(3382175663521924/59189241375\)	\(107373928078885248000\)	\([4]\)	\(737280\)	\(2.6401\)
14520.br4	14520y4	\([0, 1, 0, 1669760, -472480912]\)	\(283811208976796/217529296875\)	\(-394615212750000000000\)	\([2]\)	\(737280\)	\(2.6401\)