Elliptic curve isogeny class with Cremona label 93138t (LMFDB label 93138.q)

• Label: 93138t
• Number of curves: $1$
• Conductor: $93138$
• CM: no
• Rank: $0$

Rank

The elliptic curve 93138t1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(19\)	\(1\)
\(43\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 93138t do not have complex multiplication.

Modular form 93138.2.a.t

Isogeny graph

Elliptic curves in class 93138t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
93138.q1	93138t1	\([1, 0, 1, 14280069, -21189327674]\)	\(6845309169258215375/8084708999036928\)	\(-380352257488320429293568\)	\([]\)	\(13132800\)	\(3.2109\)	\(\Gamma_0(N)\)-optimal