Elliptic curve isogeny class with Cremona label 3520r (LMFDB label 3520.i)

• Label: 3520r
• Number of curves: $1$
• Conductor: $3520$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3520r1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 + T\)
\(11\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3520r do not have complex multiplication.

Modular form 3520.2.a.r

Elliptic curves in class 3520r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3520.i1	3520r1	\([0, -1, 0, -12001, 2212001]\)	\(-5833944216008/60897409375\)	\(-1995486310400000\)	\([]\)	\(13440\)	\(1.6180\)	\(\Gamma_0(N)\)-optimal