Elliptic curve isogeny class with Cremona label 9075c (LMFDB label 9075.e)

• Label: 9075c
• Number of curves: $1$
• Conductor: $9075$
• CM: no
• Rank: $1$

Rank

The elliptic curve 9075c1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + T + 2 T^{2}\)	1.2.b
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9075c do not have complex multiplication.

Modular form 9075.2.a.c

Elliptic curves in class 9075c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9075.e1	9075c1	\([1, 1, 1, -17608, -1059574]\)	\(-10241915/2187\)	\(-128920790005425\)	\([]\)	\(22176\)	\(1.4288\)	\(\Gamma_0(N)\)-optimal