Elliptic curve isogeny class with LMFDB label 348726.bc (Cremona label 348726bc)

• Label: 348726.bc
• Number of curves: $1$
• Conductor: $348726$
• CM: no
• Rank: $1$

Rank

The elliptic curve 348726.bc1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(7\)	\(1 - T\)
\(19\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 + 8 T + 17 T^{2}\)	1.17.i
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 348726.bc do not have complex multiplication.

Modular form 348726.2.a.bc

Elliptic curves in class 348726.bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
348726.bc1	348726bc1	\([1, 0, 1, -350178, -309804620]\)	\(-100940836056481/822747856896\)	\(-38706897768534245376\)	\([]\)	\(10506240\)	\(2.4413\)	\(\Gamma_0(N)\)-optimal