Elliptic curves over $\Q$ of conductor 288

Conductor	Discriminant	j-invariant	Faltings height
Rank	Regulator	Torsion order	Torsion structure
Analytic order of Ш	$p$ div |Ш|	Maximal primes	Nonmax $p$	Bad $p$
Number of integral points	CM	CM discriminant	Semistable	Potential good reduction
Curves per isogeny class	Cyclic isogeny degree	Isogeny class size	Isogeny class degree

Results (16 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
288.a1	288a2	288.a	288a	$[0, 0, 0, -12, 0]$	$1$	$[2]$
288.a2	288a1	288.a	288a	$[0, 0, 0, 3, 0]$	$1$	$[2]$
288.b1	288b2	288.b	288b	$[0, 0, 0, -291, -1910]$	$1$	$[2]$
288.b2	288b3	288.b	288b	$[0, 0, 0, -156, 736]$	$1$	$[4]$
288.b3	288b1	288.b	288b	$[0, 0, 0, -21, -20]$	$1$	$[2, 2]$
288.b4	288b4	288.b	288b	$[0, 0, 0, 69, -146]$	$1$	$[2]$
288.c1	288c3	288.c	288c	$[0, 0, 0, -291, 1910]$	$0$	$[4]$
288.c2	288c2	288.c	288c	$[0, 0, 0, -156, -736]$	$0$	$[2]$
288.c3	288c1	288.c	288c	$[0, 0, 0, -21, 20]$	$0$	$[2, 2]$
288.c4	288c4	288.c	288c	$[0, 0, 0, 69, 146]$	$0$	$[2]$
288.d1	288d2	288.d	288d	$[0, 0, 0, -99, -378]$	$0$	$[2]$
288.d2	288d3	288.d	288d	$[0, 0, 0, -99, 378]$	$0$	$[2]$
288.d3	288d1	288.d	288d	$[0, 0, 0, -9, 0]$	$0$	$[2, 2]$
288.d4	288d4	288.d	288d	$[0, 0, 0, 36, 0]$	$0$	$[2]$
288.e1	288e2	288.e	288e	$[0, 0, 0, -108, 0]$	$0$	$[2]$
288.e2	288e1	288.e	288e	$[0, 0, 0, 27, 0]$	$0$	$[2]$