Elliptic curve isogeny class with LMFDB label 356928.o (Cremona label 356928o)

• Label: 356928.o
• Number of curves: $1$
• Conductor: $356928$
• CM: no
• Rank: $2$

Rank

The elliptic curve 356928.o1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(11\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 356928.o do not have complex multiplication.

Modular form 356928.2.a.o

Elliptic curves in class 356928.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
356928.o1	356928o1	\([0, -1, 0, -1889, 33825]\)	\(-134683016/8019\)	\(-44407554048\)	\([]\)	\(267264\)	\(0.79856\)	\(\Gamma_0(N)\)-optimal