Elliptic curve isogeny class with Cremona label 61152n (LMFDB label 61152.bb)

• Label: 61152n
• Number of curves: $1$
• Conductor: $61152$
• CM: no
• Rank: $1$

Rank

The elliptic curve 61152n1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 61152n do not have complex multiplication.

Modular form 61152.2.a.n

Elliptic curves in class 61152n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
61152.bb1	61152n1	\([0, -1, 0, -5504, -338904]\)	\(-306182024/655473\)	\(-39483260404224\)	\([]\)	\(168960\)	\(1.2978\)	\(\Gamma_0(N)\)-optimal