Label |
Dimension |
Base field |
Base char. |
L-polynomial |
$p$-rank |
$p$-rank deficit |
points on curve |
points on variety |
Isogeny factors |
1.25.ak |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}$ |
$0$ |
$1$ |
$16$ |
$16$ |
simple |
1.25.aj |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 9 x + 25 x^{2}$ |
$1$ |
$0$ |
$17$ |
$17$ |
simple |
1.25.ai |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 8 x + 25 x^{2}$ |
$1$ |
$0$ |
$18$ |
$18$ |
simple |
1.25.ah |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 7 x + 25 x^{2}$ |
$1$ |
$0$ |
$19$ |
$19$ |
simple |
1.25.ag |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 6 x + 25 x^{2}$ |
$1$ |
$0$ |
$20$ |
$20$ |
simple |
1.25.af |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 5 x + 25 x^{2}$ |
$0$ |
$1$ |
$21$ |
$21$ |
simple |
1.25.ae |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 4 x + 25 x^{2}$ |
$1$ |
$0$ |
$22$ |
$22$ |
simple |
1.25.ad |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 3 x + 25 x^{2}$ |
$1$ |
$0$ |
$23$ |
$23$ |
simple |
1.25.ac |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 2 x + 25 x^{2}$ |
$1$ |
$0$ |
$24$ |
$24$ |
simple |
1.25.ab |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 - x + 25 x^{2}$ |
$1$ |
$0$ |
$25$ |
$25$ |
simple |
1.25.b |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + x + 25 x^{2}$ |
$1$ |
$0$ |
$27$ |
$27$ |
simple |
1.25.c |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 2 x + 25 x^{2}$ |
$1$ |
$0$ |
$28$ |
$28$ |
simple |
1.25.d |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 3 x + 25 x^{2}$ |
$1$ |
$0$ |
$29$ |
$29$ |
simple |
1.25.e |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 4 x + 25 x^{2}$ |
$1$ |
$0$ |
$30$ |
$30$ |
simple |
1.25.f |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 5 x + 25 x^{2}$ |
$0$ |
$1$ |
$31$ |
$31$ |
simple |
1.25.g |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 6 x + 25 x^{2}$ |
$1$ |
$0$ |
$32$ |
$32$ |
simple |
1.25.h |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 7 x + 25 x^{2}$ |
$1$ |
$0$ |
$33$ |
$33$ |
simple |
1.25.i |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 8 x + 25 x^{2}$ |
$1$ |
$0$ |
$34$ |
$34$ |
simple |
1.25.j |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$1 + 9 x + 25 x^{2}$ |
$1$ |
$0$ |
$35$ |
$35$ |
simple |
1.25.k |
$1$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 + 5 x )^{2}$ |
$0$ |
$1$ |
$36$ |
$36$ |
simple |
2.25.au_fu |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{4}$ |
$0$ |
$2$ |
$6$ |
$256$ |
1.25.ak 2 |
2.25.at_fk |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 9 x + 25 x^{2} )$ |
$1$ |
$1$ |
$7$ |
$272$ |
1.25.ak $\times$ 1.25.aj |
2.25.as_fa |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 8 x + 25 x^{2} )$ |
$1$ |
$1$ |
$8$ |
$288$ |
1.25.ak $\times$ 1.25.ai |
2.25.as_fb |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 9 x + 25 x^{2} )^{2}$ |
$2$ |
$0$ |
$8$ |
$289$ |
1.25.aj 2 |
2.25.ar_eq |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 7 x + 25 x^{2} )$ |
$1$ |
$1$ |
$9$ |
$304$ |
1.25.ak $\times$ 1.25.ah |
2.25.ar_er |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 17 x + 121 x^{2} - 425 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$9$ |
$305$ |
simple |
2.25.ar_es |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 9 x + 25 x^{2} )( 1 - 8 x + 25 x^{2} )$ |
$2$ |
$0$ |
$9$ |
$306$ |
1.25.aj $\times$ 1.25.ai |
2.25.aq_eg |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 6 x + 25 x^{2} )$ |
$1$ |
$1$ |
$10$ |
$320$ |
1.25.ak $\times$ 1.25.ag |
2.25.aq_eh |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 16 x + 111 x^{2} - 400 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$10$ |
$321$ |
simple |
2.25.aq_ei |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 16 x + 112 x^{2} - 400 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$10$ |
$322$ |
simple |
2.25.aq_ej |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 9 x + 25 x^{2} )( 1 - 7 x + 25 x^{2} )$ |
$2$ |
$0$ |
$10$ |
$323$ |
1.25.aj $\times$ 1.25.ah |
2.25.aq_ek |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 8 x + 25 x^{2} )^{2}$ |
$2$ |
$0$ |
$10$ |
$324$ |
1.25.ai 2 |
2.25.ap_dw |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 5 x + 25 x^{2} )$ |
$0$ |
$2$ |
$11$ |
$336$ |
1.25.ak $\times$ 1.25.af |
2.25.ap_dx |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 15 x + 101 x^{2} - 375 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$11$ |
$337$ |
simple |
2.25.ap_dy |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 15 x + 102 x^{2} - 375 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$11$ |
$338$ |
simple |
2.25.ap_dz |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 15 x + 103 x^{2} - 375 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$11$ |
$339$ |
simple |
2.25.ap_ea |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 9 x + 25 x^{2} )( 1 - 6 x + 25 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$340$ |
1.25.aj $\times$ 1.25.ag |
2.25.ap_ec |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 8 x + 25 x^{2} )( 1 - 7 x + 25 x^{2} )$ |
$2$ |
$0$ |
$11$ |
$342$ |
1.25.ai $\times$ 1.25.ah |
2.25.ao_dm |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 4 x + 25 x^{2} )$ |
$1$ |
$1$ |
$12$ |
$352$ |
1.25.ak $\times$ 1.25.ae |
2.25.ao_dn |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 14 x + 91 x^{2} - 350 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$12$ |
$353$ |
simple |
2.25.ao_do |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 14 x + 92 x^{2} - 350 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$12$ |
$354$ |
simple |
2.25.ao_dp |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 14 x + 93 x^{2} - 350 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$12$ |
$355$ |
simple |
2.25.ao_dq |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 14 x + 94 x^{2} - 350 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$12$ |
$356$ |
simple |
2.25.ao_dr |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 9 x + 25 x^{2} )( 1 - 5 x + 25 x^{2} )$ |
$1$ |
$1$ |
$12$ |
$357$ |
1.25.aj $\times$ 1.25.af |
2.25.ao_ds |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 14 x + 96 x^{2} - 350 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$12$ |
$358$ |
simple |
2.25.ao_dt |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 14 x + 97 x^{2} - 350 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$12$ |
$359$ |
simple |
2.25.ao_du |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 8 x + 25 x^{2} )( 1 - 6 x + 25 x^{2} )$ |
$2$ |
$0$ |
$12$ |
$360$ |
1.25.ai $\times$ 1.25.ag |
2.25.ao_dv |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 7 x + 25 x^{2} )^{2}$ |
$2$ |
$0$ |
$12$ |
$361$ |
1.25.ah 2 |
2.25.an_dc |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$( 1 - 5 x )^{2}( 1 - 3 x + 25 x^{2} )$ |
$1$ |
$1$ |
$13$ |
$368$ |
1.25.ak $\times$ 1.25.ad |
2.25.an_dd |
$2$ |
$\F_{5^{2}}$ |
$5$ |
$1 - 13 x + 81 x^{2} - 325 x^{3} + 625 x^{4}$ |
$2$ |
$0$ |
$13$ |
$369$ |
simple |