Elliptic curve isogeny class with LMFDB label 214200.dg (Cremona label 214200ds)

• Label: 214200.dg
• Number of curves: $1$
• Conductor: $214200$
• CM: no
• Rank: $1$

Rank

The elliptic curve 214200.dg1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 - T\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 214200.dg do not have complex multiplication.

Modular form 214200.2.a.dg

Elliptic curves in class 214200.dg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
214200.dg1	214200ds1	\([0, 0, 0, -1875, -17181250]\)	\(-100/17493\)	\(-127523970000000000\)	\([]\)	\(1520640\)	\(1.9611\)	\(\Gamma_0(N)\)-optimal