Elliptic curve isogeny class with LMFDB label 15600.u (Cremona label 15600bq)

• Label: 15600.u
• Number of curves: $1$
• Conductor: $15600$
• CM: no
• Rank: $1$

Rank

The elliptic curve 15600.u1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 15600.u do not have complex multiplication.

Modular form 15600.2.a.u

Isogeny graph

Elliptic curves in class 15600.u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15600.u1	15600bq1	\([0, -1, 0, 192, -7488]\)	\(304175/9477\)	\(-24261120000\)	\([]\)	\(9216\)	\(0.67269\)	\(\Gamma_0(N)\)-optimal