Elliptic curve isogeny class with Cremona label 108300t (LMFDB label 108300.h)

• Label: 108300t
• Number of curves: $1$
• Conductor: $108300$
• CM: no
• Rank: $1$

Rank

The elliptic curve 108300t1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 108300t do not have complex multiplication.

Modular form 108300.2.a.t

Isogeny graph

Elliptic curves in class 108300t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
108300.h1	108300t1	\([0, -1, 0, -3517533, 2540384937]\)	\(3333275297603584/56953125\)	\(82240312500000000\)	\([]\)	\(2177280\)	\(2.3752\)	\(\Gamma_0(N)\)-optimal