Elliptic curve isogeny class with LMFDB label 232050.ef (Cremona label 232050ef)

• Label: 232050.ef
• Number of curves: $1$
• Conductor: $232050$
• CM: no
• Rank: $1$

Elliptic curves in class 232050.ef

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
232050.ef1	232050ef1	$[1, 1, 1, -300138, 863891031]$	$-7654674371496385/821165814155232$	$-320767896154387500000$	$[]$	$9216000$	$2.6143$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 232050.ef1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1 + T$
$5$	$1$
$7$	$1 + T$
$13$	$1 + T$
$17$	$1 + T$

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 232050.ef do not have complex multiplication.

Modular form 232050.2.a.ef