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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.


Results (1-50 of 62 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
2450.1-a1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-a \( \bigl[1\) , \( a - 1\) , \( a\) , \( 8 a - 24\) , \( -36 a + 64\bigr] \)
2450.1-a2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-a \( \bigl[1\) , \( a - 1\) , \( a\) , \( 1628 a - 2404\) , \( 42084 a - 61450\bigr] \)
2450.1-a3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-a \( \bigl[1\) , \( a - 1\) , \( a\) , \( 28 a - 29\) , \( 39 a + 15\bigr] \)
2450.1-a4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-a \( \bigl[1\) , \( a - 1\) , \( a\) , \( -162 a + 31\) , \( 649 a + 39\bigr] \)
2450.1-a5 \(\Q(\sqrt{2}) \) 2450.1 2450.1-a \( \bigl[1\) , \( a - 1\) , \( a\) , \( 588 a - 3844\) , \( 20724 a - 93386\bigr] \)
2450.1-a6 \(\Q(\sqrt{2}) \) 2450.1 2450.1-a \( \bigl[1\) , \( a - 1\) , \( a\) , \( -57 a - 114\) , \( 309 a + 560\bigr] \)
2450.1-b1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-b \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -13 a - 22\) , \( 37 a + 51\bigr] \)
2450.1-b2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-b \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -213 a - 342\) , \( 2277 a + 3075\bigr] \)
2450.1-c1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-c \( \bigl[a + 1\) , \( -a\) , \( a\) , \( -192 a - 299\) , \( -1843 a - 2677\bigr] \)
2450.1-c2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( 9 a - 12\) , \( -5 a + 7\bigr] \)
2450.1-c3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-c \( \bigl[a + 1\) , \( -a\) , \( a\) , \( -42 a - 69\) , \( -123 a - 167\bigr] \)
2450.1-c4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-c \( \bigl[1\) , \( 1\) , \( 1\) , \( 264 a - 642\) , \( 2875 a - 5873\bigr] \)
2450.1-d1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-d \( \bigl[1\) , \( a\) , \( 1\) , \( 2849 a - 2615\) , \( -68114 a + 114698\bigr] \)
2450.1-d2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-d \( \bigl[1\) , \( a\) , \( 1\) , \( -21 a - 445\) , \( -410 a + 2838\bigr] \)
2450.1-d3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-d \( \bigl[1\) , \( a\) , \( 1\) , \( -971 a - 1795\) , \( -25410 a - 32622\bigr] \)
2450.1-d4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-d \( \bigl[1\) , \( a\) , \( 1\) , \( -141 a - 225\) , \( 1086 a + 1598\bigr] \)
2450.1-e1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-e \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -59 a - 98\) , \( 332 a + 481\bigr] \)
2450.1-e2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-e \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( 271 a - 1768\) , \( 57592 a + 41081\bigr] \)
2450.1-e3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-e \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -1589 a - 2228\) , \( -3568 a - 6887\bigr] \)
2450.1-e4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-e \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -979 a - 1518\) , \( 21492 a + 29681\bigr] \)
2450.1-e5 \(\Q(\sqrt{2}) \) 2450.1 2450.1-e \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 195 a - 362\) , \( -1085 a + 1767\bigr] \)
2450.1-e6 \(\Q(\sqrt{2}) \) 2450.1 2450.1-e \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -1205 a + 338\) , \( -2765 a + 22207\bigr] \)
2450.1-f1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-f \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -3 a + 2\) , \( 18 a - 25\bigr] \)
2450.1-f2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-f \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 158 a + 199\) , \( -11 a - 59\bigr] \)
2450.1-f3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-f \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -467 a - 1051\) , \( -1511 a - 5059\bigr] \)
2450.1-f4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-f \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 47 a - 98\) , \( 258 a - 305\bigr] \)
2450.1-g1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-g \( \bigl[1\) , \( a\) , \( 1\) , \( -a\) , \( -2\bigr] \)
2450.1-g2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-g \( \bigl[1\) , \( a\) , \( 1\) , \( -6 a - 20\) , \( -24 a - 42\bigr] \)
2450.1-h1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-h \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 12 a - 22\) , \( -38 a + 51\bigr] \)
2450.1-h2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-h \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 212 a - 342\) , \( -2278 a + 3075\bigr] \)
2450.1-i1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-i \( \bigl[1\) , \( -1\) , \( 1\) , \( 1425 a - 2268\) , \( 37120 a - 54319\bigr] \)
2450.1-i2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-i \( \bigl[1\) , \( -1\) , \( 1\) , \( 2\) , \( -3\bigr] \)
2450.1-i3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-i \( \bigl[1\) , \( -1\) , \( 1\) , \( -18\) , \( -19\bigr] \)
2450.1-i4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-i \( \bigl[1\) , \( -1\) , \( 1\) , \( -88\) , \( 317\bigr] \)
2450.1-i5 \(\Q(\sqrt{2}) \) 2450.1 2450.1-i \( \bigl[1\) , \( -1\) , \( 1\) , \( -268\) , \( -1619\bigr] \)
2450.1-i6 \(\Q(\sqrt{2}) \) 2450.1 2450.1-i \( \bigl[1\) , \( -1\) , \( 1\) , \( -1425 a - 2268\) , \( -37120 a - 54319\bigr] \)
2450.1-j1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-j \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -156 a + 200\) , \( 210 a - 373\bigr] \)
2450.1-j2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-j \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 3 a + 2\) , \( -18 a - 25\bigr] \)
2450.1-j3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-j \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -47 a - 98\) , \( -258 a - 305\bigr] \)
2450.1-j4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-j \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 469 a - 1050\) , \( 460 a - 4123\bigr] \)
2450.1-k1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-k \( \bigl[1\) , \( -a\) , \( 1\) , \( 141 a - 225\) , \( -1086 a + 1598\bigr] \)
2450.1-k2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-k \( \bigl[1\) , \( -a\) , \( 1\) , \( 971 a - 1795\) , \( 25410 a - 32622\bigr] \)
2450.1-k3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-k \( \bigl[1\) , \( -a\) , \( 1\) , \( 21 a - 445\) , \( 410 a + 2838\bigr] \)
2450.1-k4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-k \( \bigl[1\) , \( -a\) , \( 1\) , \( -2849 a - 2615\) , \( 68114 a + 114698\bigr] \)
2450.1-l1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-l \( \bigl[1\) , \( -a\) , \( 1\) , \( a\) , \( -2\bigr] \)
2450.1-l2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-l \( \bigl[1\) , \( -a\) , \( 1\) , \( 6 a - 20\) , \( 24 a - 42\bigr] \)
2450.1-m1 \(\Q(\sqrt{2}) \) 2450.1 2450.1-m \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -589 a - 3844\) , \( -20724 a - 93386\bigr] \)
2450.1-m2 \(\Q(\sqrt{2}) \) 2450.1 2450.1-m \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 56 a - 114\) , \( -309 a + 560\bigr] \)
2450.1-m3 \(\Q(\sqrt{2}) \) 2450.1 2450.1-m \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 161 a + 31\) , \( -649 a + 39\bigr] \)
2450.1-m4 \(\Q(\sqrt{2}) \) 2450.1 2450.1-m \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -29 a - 29\) , \( -39 a + 15\bigr] \)
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