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

• Label: 356928i
• Number of curves: $1$
• Conductor: $356928$
• CM: no
• Rank: $1$

Rank

The elliptic curve 356928i1 has rank \(1\).

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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(17\)	\( 1 + 8 T + 17 T^{2}\)	1.17.i
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 356928.2.a.i

Elliptic curves in class 356928i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
356928.i1	356928i1	\([0, -1, 0, -6186977, -133770723711]\)	\(-20699471212993/6097712265216\)	\(-7715551298494129961435136\)	\([]\)	\(85155840\)	\(3.4546\)	\(\Gamma_0(N)\)-optimal