Elliptic curve isogeny class with LMFDB label 7350.bh (Cremona label 7350z)

• Label: 7350.bh
• Number of curves: $2$
• Conductor: $7350$
• CM: no
• Rank: $1$

Rank

The elliptic curves in class 7350.bh have rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(7\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 7350.bh do not have complex multiplication.

Modular form 7350.2.a.bh

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.

Elliptic curves in class 7350.bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7350.bh1	7350z1	\([1, 0, 1, -376, -1102]\)	\(1092727/540\)	\(2894062500\)	\([2]\)	\(4608\)	\(0.50859\)	\(\Gamma_0(N)\)-optimal
7350.bh2	7350z2	\([1, 0, 1, 1374, -8102]\)	\(53582633/36450\)	\(-195349218750\)	\([2]\)	\(9216\)	\(0.85516\)