Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
2.73.abi_qt |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )^{2}$ |
$2$ |
$0$ |
$40$ |
$3249$ |
1.73.ar 2 |
2.73.abh_qc |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 16 x + 73 x^{2} )$ |
$2$ |
$0$ |
$41$ |
$3306$ |
1.73.ar $\times$ 1.73.aq |
2.73.abg_pl |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 15 x + 73 x^{2} )$ |
$2$ |
$0$ |
$42$ |
$3363$ |
1.73.ar $\times$ 1.73.ap |
2.73.abg_pm |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )^{2}$ |
$2$ |
$0$ |
$42$ |
$3364$ |
1.73.aq 2 |
2.73.abf_ou |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 14 x + 73 x^{2} )$ |
$2$ |
$0$ |
$43$ |
$3420$ |
1.73.ar $\times$ 1.73.ao |
2.73.abf_ov |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 31 x + 385 x^{2} - 2263 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$43$ |
$3421$ |
simple |
2.73.abf_ow |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )( 1 - 15 x + 73 x^{2} )$ |
$2$ |
$0$ |
$43$ |
$3422$ |
1.73.aq $\times$ 1.73.ap |
2.73.abe_od |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 13 x + 73 x^{2} )$ |
$2$ |
$0$ |
$44$ |
$3477$ |
1.73.ar $\times$ 1.73.an |
2.73.abe_oe |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 30 x + 368 x^{2} - 2190 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3478$ |
simple |
2.73.abe_of |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 30 x + 369 x^{2} - 2190 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$44$ |
$3479$ |
simple |
2.73.abe_og |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )( 1 - 14 x + 73 x^{2} )$ |
$2$ |
$0$ |
$44$ |
$3480$ |
1.73.aq $\times$ 1.73.ao |
2.73.abe_oh |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 15 x + 73 x^{2} )^{2}$ |
$2$ |
$0$ |
$44$ |
$3481$ |
1.73.ap 2 |
2.73.abd_nm |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 12 x + 73 x^{2} )$ |
$2$ |
$0$ |
$45$ |
$3534$ |
1.73.ar $\times$ 1.73.am |
2.73.abd_nn |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 29 x + 351 x^{2} - 2117 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3535$ |
simple |
2.73.abd_no |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 29 x + 352 x^{2} - 2117 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3536$ |
simple |
2.73.abd_np |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 29 x + 353 x^{2} - 2117 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3537$ |
simple |
2.73.abd_nq |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )( 1 - 13 x + 73 x^{2} )$ |
$2$ |
$0$ |
$45$ |
$3538$ |
1.73.aq $\times$ 1.73.an |
2.73.abd_nr |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 29 x + 355 x^{2} - 2117 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$45$ |
$3539$ |
simple |
2.73.abd_ns |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 15 x + 73 x^{2} )( 1 - 14 x + 73 x^{2} )$ |
$2$ |
$0$ |
$45$ |
$3540$ |
1.73.ap $\times$ 1.73.ao |
2.73.abc_mv |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 11 x + 73 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$3591$ |
1.73.ar $\times$ 1.73.al |
2.73.abc_mw |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 28 x + 334 x^{2} - 2044 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3592$ |
simple |
2.73.abc_mx |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 28 x + 335 x^{2} - 2044 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3593$ |
simple |
2.73.abc_my |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 28 x + 336 x^{2} - 2044 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3594$ |
simple |
2.73.abc_mz |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 28 x + 337 x^{2} - 2044 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3595$ |
simple |
2.73.abc_na |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )( 1 - 12 x + 73 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$3596$ |
1.73.aq $\times$ 1.73.am |
2.73.abc_nb |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 28 x + 339 x^{2} - 2044 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3597$ |
simple |
2.73.abc_nc |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 28 x + 340 x^{2} - 2044 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$46$ |
$3598$ |
simple |
2.73.abc_nd |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 15 x + 73 x^{2} )( 1 - 13 x + 73 x^{2} )$ |
$2$ |
$0$ |
$46$ |
$3599$ |
1.73.ap $\times$ 1.73.an |
2.73.abc_ne |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 14 x + 73 x^{2} )^{2}$ |
$2$ |
$0$ |
$46$ |
$3600$ |
1.73.ao 2 |
2.73.abb_me |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 10 x + 73 x^{2} )$ |
$2$ |
$0$ |
$47$ |
$3648$ |
1.73.ar $\times$ 1.73.ak |
2.73.abb_mf |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 317 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3649$ |
simple |
2.73.abb_mg |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 318 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3650$ |
simple |
2.73.abb_mh |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 319 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3651$ |
simple |
2.73.abb_mi |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 320 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3652$ |
simple |
2.73.abb_mj |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 321 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3653$ |
simple |
2.73.abb_mk |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )( 1 - 11 x + 73 x^{2} )$ |
$2$ |
$0$ |
$47$ |
$3654$ |
1.73.aq $\times$ 1.73.al |
2.73.abb_ml |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 323 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3655$ |
simple |
2.73.abb_mm |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 324 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3656$ |
simple |
2.73.abb_mn |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 325 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3657$ |
simple |
2.73.abb_mo |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 15 x + 73 x^{2} )( 1 - 12 x + 73 x^{2} )$ |
$2$ |
$0$ |
$47$ |
$3658$ |
1.73.ap $\times$ 1.73.am |
2.73.abb_mp |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 27 x + 327 x^{2} - 1971 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$47$ |
$3659$ |
simple |
2.73.abb_mq |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 14 x + 73 x^{2} )( 1 - 13 x + 73 x^{2} )$ |
$2$ |
$0$ |
$47$ |
$3660$ |
1.73.ao $\times$ 1.73.an |
2.73.aba_ln |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 17 x + 73 x^{2} )( 1 - 9 x + 73 x^{2} )$ |
$2$ |
$0$ |
$48$ |
$3705$ |
1.73.ar $\times$ 1.73.aj |
2.73.aba_lo |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 26 x + 300 x^{2} - 1898 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$48$ |
$3706$ |
simple |
2.73.aba_lp |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 26 x + 301 x^{2} - 1898 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$48$ |
$3707$ |
simple |
2.73.aba_lq |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 26 x + 302 x^{2} - 1898 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$48$ |
$3708$ |
simple |
2.73.aba_lr |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 26 x + 303 x^{2} - 1898 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$48$ |
$3709$ |
simple |
2.73.aba_ls |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 26 x + 304 x^{2} - 1898 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$48$ |
$3710$ |
simple |
2.73.aba_lt |
$2$ |
$\F_{73}$ |
$73$ |
$1 - 26 x + 305 x^{2} - 1898 x^{3} + 5329 x^{4}$ |
$2$ |
$0$ |
$48$ |
$3711$ |
simple |
2.73.aba_lu |
$2$ |
$\F_{73}$ |
$73$ |
$( 1 - 16 x + 73 x^{2} )( 1 - 10 x + 73 x^{2} )$ |
$2$ |
$0$ |
$48$ |
$3712$ |
1.73.aq $\times$ 1.73.ak |