Elliptic curve isogeny class with Cremona label 29370o (LMFDB label 29370.q)

• Label: 29370o
• Number of curves: $1$
• Conductor: $29370$
• CM: no
• Rank: $1$

Rank

The elliptic curve 29370o1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(5\)	\(1 - T\)
\(11\)	\(1 - T\)
\(89\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 29370o do not have complex multiplication.

Modular form 29370.2.a.o

Isogeny graph

Elliptic curves in class 29370o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29370.q1	29370o1	\([1, 0, 1, -16563, 880918]\)	\(-502461771077385001/45514159047720\)	\(-45514159047720\)	\([]\)	\(134976\)	\(1.3638\)	\(\Gamma_0(N)\)-optimal