Elliptic curve isogeny class with LMFDB label 29370.a (Cremona label 29370b)

• Label: 29370.a
• Number of curves: $1$
• Conductor: $29370$
• CM: no
• Rank: $0$

Rank

The elliptic curve 29370.a1 has rank \(0\).

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 \(\mathbb{F}_p\)
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 29370.2.a.a

Isogeny graph

Elliptic curves in class 29370.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29370.a1	29370b1	\([1, 1, 0, -80413, -8981507]\)	\(-57505706745232137049/1310061772800000\)	\(-1310061772800000\)	\([]\)	\(354960\)	\(1.6885\)	\(\Gamma_0(N)\)-optimal