Elliptic curve isogeny class with LMFDB label 15675.ba (Cremona label 15675f)

• Label: 15675.ba
• Number of curves: $1$
• Conductor: $15675$
• CM: no
• Rank: $0$

Rank

The elliptic curve 15675.ba1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(11\)	\(1 + T\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 + 5 T + 13 T^{2}\)	1.13.f
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 15675.ba do not have complex multiplication.

Modular form 15675.2.a.ba

Isogeny graph

Elliptic curves in class 15675.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15675.ba1	15675f1	\([0, -1, 1, -9002708, -10393995307]\)	\(-8263103822294732800/37023723\)	\(-361559794921875\)	\([]\)	\(537240\)	\(2.4206\)	\(\Gamma_0(N)\)-optimal