Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
1.23.aj |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 9 x + 23 x^{2}$ |
$1$ |
$0$ |
$15$ |
$15$ |
simple |
1.23.ai |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 8 x + 23 x^{2}$ |
$1$ |
$0$ |
$16$ |
$16$ |
simple |
1.23.ah |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 7 x + 23 x^{2}$ |
$1$ |
$0$ |
$17$ |
$17$ |
simple |
1.23.ag |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 6 x + 23 x^{2}$ |
$1$ |
$0$ |
$18$ |
$18$ |
simple |
1.23.af |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 5 x + 23 x^{2}$ |
$1$ |
$0$ |
$19$ |
$19$ |
simple |
1.23.ae |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 4 x + 23 x^{2}$ |
$1$ |
$0$ |
$20$ |
$20$ |
simple |
1.23.ad |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 3 x + 23 x^{2}$ |
$1$ |
$0$ |
$21$ |
$21$ |
simple |
1.23.ac |
$1$ |
$\F_{23}$ |
$23$ |
$1 - 2 x + 23 x^{2}$ |
$1$ |
$0$ |
$22$ |
$22$ |
simple |
1.23.ab |
$1$ |
$\F_{23}$ |
$23$ |
$1 - x + 23 x^{2}$ |
$1$ |
$0$ |
$23$ |
$23$ |
simple |
1.23.a |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 23 x^{2}$ |
$0$ |
$1$ |
$24$ |
$24$ |
simple |
1.23.b |
$1$ |
$\F_{23}$ |
$23$ |
$1 + x + 23 x^{2}$ |
$1$ |
$0$ |
$25$ |
$25$ |
simple |
1.23.c |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 2 x + 23 x^{2}$ |
$1$ |
$0$ |
$26$ |
$26$ |
simple |
1.23.d |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 3 x + 23 x^{2}$ |
$1$ |
$0$ |
$27$ |
$27$ |
simple |
1.23.e |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 4 x + 23 x^{2}$ |
$1$ |
$0$ |
$28$ |
$28$ |
simple |
1.23.f |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 5 x + 23 x^{2}$ |
$1$ |
$0$ |
$29$ |
$29$ |
simple |
1.23.g |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 6 x + 23 x^{2}$ |
$1$ |
$0$ |
$30$ |
$30$ |
simple |
1.23.h |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 7 x + 23 x^{2}$ |
$1$ |
$0$ |
$31$ |
$31$ |
simple |
1.23.i |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 8 x + 23 x^{2}$ |
$1$ |
$0$ |
$32$ |
$32$ |
simple |
1.23.j |
$1$ |
$\F_{23}$ |
$23$ |
$1 + 9 x + 23 x^{2}$ |
$1$ |
$0$ |
$33$ |
$33$ |
simple |
2.23.as_ex |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )^{2}$ |
$2$ |
$0$ |
$6$ |
$225$ |
1.23.aj 2 |
2.23.ar_eo |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )( 1 - 8 x + 23 x^{2} )$ |
$2$ |
$0$ |
$7$ |
$240$ |
1.23.aj $\times$ 1.23.ai |
2.23.aq_ee |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 16 x + 108 x^{2} - 368 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$8$ |
$254$ |
simple |
2.23.aq_ef |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )( 1 - 7 x + 23 x^{2} )$ |
$2$ |
$0$ |
$8$ |
$255$ |
1.23.aj $\times$ 1.23.ah |
2.23.aq_eg |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 8 x + 23 x^{2} )^{2}$ |
$2$ |
$0$ |
$8$ |
$256$ |
1.23.ai 2 |
2.23.ap_du |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 15 x + 98 x^{2} - 345 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$9$ |
$268$ |
simple |
2.23.ap_dv |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 15 x + 99 x^{2} - 345 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$9$ |
$269$ |
simple |
2.23.ap_dw |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$270$ |
1.23.aj $\times$ 1.23.ag |
2.23.ap_dx |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 15 x + 101 x^{2} - 345 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$9$ |
$271$ |
simple |
2.23.ap_dy |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 8 x + 23 x^{2} )( 1 - 7 x + 23 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$272$ |
1.23.ai $\times$ 1.23.ah |
2.23.ao_dl |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 14 x + 89 x^{2} - 322 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$10$ |
$283$ |
simple |
2.23.ao_dm |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 14 x + 90 x^{2} - 322 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$10$ |
$284$ |
simple |
2.23.ao_dn |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ |
$2$ |
$0$ |
$10$ |
$285$ |
1.23.aj $\times$ 1.23.af |
2.23.ao_do |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 14 x + 92 x^{2} - 322 x^{3} + 529 x^{4}$ |
$1$ |
$1$ |
$10$ |
$286$ |
simple |
2.23.ao_dp |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 14 x + 93 x^{2} - 322 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$10$ |
$287$ |
simple |
2.23.ao_dq |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 8 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ |
$2$ |
$0$ |
$10$ |
$288$ |
1.23.ai $\times$ 1.23.ag |
2.23.ao_dr |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 7 x + 23 x^{2} )^{2}$ |
$2$ |
$0$ |
$10$ |
$289$ |
1.23.ah 2 |
2.23.an_db |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 79 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$297$ |
simple |
2.23.an_dc |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 80 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$298$ |
simple |
2.23.an_dd |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 81 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$299$ |
simple |
2.23.an_de |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )( 1 - 4 x + 23 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$300$ |
1.23.aj $\times$ 1.23.ae |
2.23.an_df |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 83 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$301$ |
simple |
2.23.an_dg |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 84 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$302$ |
simple |
2.23.an_dh |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 85 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$303$ |
simple |
2.23.an_di |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 8 x + 23 x^{2} )( 1 - 5 x + 23 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$304$ |
1.23.ai $\times$ 1.23.af |
2.23.an_dj |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 13 x + 87 x^{2} - 299 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$11$ |
$305$ |
simple |
2.23.an_dk |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 7 x + 23 x^{2} )( 1 - 6 x + 23 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$306$ |
1.23.ah $\times$ 1.23.ag |
2.23.am_cs |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 12 x + 70 x^{2} - 276 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$12$ |
$312$ |
simple |
2.23.am_ct |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 12 x + 71 x^{2} - 276 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$12$ |
$313$ |
simple |
2.23.am_cu |
$2$ |
$\F_{23}$ |
$23$ |
$1 - 12 x + 72 x^{2} - 276 x^{3} + 529 x^{4}$ |
$2$ |
$0$ |
$12$ |
$314$ |
simple |
2.23.am_cv |
$2$ |
$\F_{23}$ |
$23$ |
$( 1 - 9 x + 23 x^{2} )( 1 - 3 x + 23 x^{2} )$ |
$2$ |
$0$ |
$12$ |
$315$ |
1.23.aj $\times$ 1.23.ad |