Learn more

Refine search


Results (22 matches)

  Download to        
Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
3872.5-a1 3872.5-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.292255878$ $2.457844850$ 2.171994331 \( \frac{704969}{484} \) \( \bigl[a\) , \( -a\) , \( 0\) , \( 6 a - 4\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(6a-4\right){x}$
3872.5-a2 3872.5-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z$ $0.146127939$ $1.228922425$ 2.171994331 \( \frac{59776471}{29282} \) \( \bigl[a\) , \( -a\) , \( 0\) , \( -24 a + 16\) , \( 18 a - 44\bigr] \) ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-24a+16\right){x}+18a-44$
3872.5-a3 3872.5-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z$ $0.584511757$ $2.457844850$ 2.171994331 \( -\frac{34643161}{176} a + \frac{13683239}{88} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 22\) , \( -27 a + 13\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+22{x}-27a+13$
3872.5-a4 3872.5-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z$ $0.584511757$ $2.457844850$ 2.171994331 \( \frac{34643161}{176} a - \frac{7276683}{176} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( -3 a - 19\) , \( -a + 31\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-19\right){x}-a+31$
3872.5-b1 3872.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $1.461921226$ 2.210217144 \( -\frac{46830231}{234256} a + \frac{212077575}{117128} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -9 a + 23\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-9a+23\right){x}$
3872.5-b2 3872.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.461921226$ 2.210217144 \( \frac{46830231}{234256} a + \frac{377324919}{234256} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -12 a - 7\) , \( a + 10\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-12a-7\right){x}+a+10$
3872.5-b3 3872.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $0.730960613$ 2.210217144 \( -\frac{56046918875913}{857435524} a + \frac{93327675428637}{857435524} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -102 a - 107\) , \( 867 a + 190\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-102a-107\right){x}+867a+190$
3872.5-b4 3872.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/4\Z$ $1$ $0.730960613$ 2.210217144 \( \frac{56046918875913}{857435524} a + \frac{9320189138181}{214358881} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -69 a + 223\) , \( -684 a - 536\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-69a+223\right){x}-684a-536$
3872.5-b5 3872.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/4\Z$ $1$ $1.461921226$ 2.210217144 \( -\frac{14003310699}{30976} a + \frac{9620888049}{15488} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -42 a - 19\) , \( 205 a - 62\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-42a-19\right){x}+205a-62$
3872.5-b6 3872.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $1.461921226$ 2.210217144 \( \frac{14003310699}{30976} a + \frac{5238465399}{30976} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -33 a + 71\) , \( -78 a - 204\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-33a+71\right){x}-78a-204$
3872.5-c1 3872.5-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/4\Z$ $1$ $0.619709498$ 2.810738089 \( \frac{32518499729401}{704} a - \frac{15898155671547}{352} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 469 a - 1407\) , \( 9386 a - 18877\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(469a-1407\right){x}+9386a-18877$
3872.5-c2 3872.5-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/4\Z$ $1$ $1.239418997$ 2.810738089 \( -\frac{16131562657}{184549376} a + \frac{3800221619}{92274688} \) \( \bigl[a\) , \( -1\) , \( a\) , \( 9 a - 3\) , \( -6 a - 67\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(9a-3\right){x}-6a-67$
3872.5-c3 3872.5-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.239418997$ 2.810738089 \( -\frac{16280859}{937024} a + \frac{747699265}{468512} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -17 a - 13\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-17a-13\right){x}$
3872.5-c4 3872.5-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $1.239418997$ 2.810738089 \( \frac{34401807041}{1714871048} a + \frac{1602489013229}{857435524} \) \( \bigl[a\) , \( a\) , \( a\) , \( 18 a - 29\) , \( 6 a - 23\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(18a-29\right){x}+6a-23$
3872.5-c5 3872.5-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $1.239418997$ 2.810738089 \( \frac{78156424101}{495616} a + \frac{16938341377}{247808} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 29 a - 87\) , \( 146 a - 309\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(29a-87\right){x}+146a-309$
3872.5-c6 3872.5-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $0.619709498$ 2.810738089 \( -\frac{320710739562017}{1714871048} a + \frac{225827695068387}{857435524} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -157 a - 193\) , \( -1580 a - 372\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-157a-193\right){x}-1580a-372$
3872.5-d1 3872.5-d \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $0.478347664$ 2.892774765 \( -\frac{31504873455125}{519691042816} a + \frac{132554493440375}{519691042816} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -48 a - 65\) , \( 352 a - 1185\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-48a-65\right){x}+352a-1185$
3872.5-d2 3872.5-d \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/4\Z$ $1$ $0.478347664$ 2.892774765 \( \frac{31504873455125}{519691042816} a + \frac{50524809992625}{259845521408} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -30 a + 117\) , \( 617 a - 1138\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-30a+117\right){x}+617a-1138$
3872.5-d3 3872.5-d \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $0.478347664$ 2.892774765 \( -\frac{1133731711875}{959512576} a + \frac{4028870229625}{479756288} \) \( \bigl[a\) , \( a\) , \( a\) , \( -178 a - 86\) , \( 1188 a - 129\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-178a-86\right){x}+1188a-129$
3872.5-d4 3872.5-d \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.478347664$ 2.892774765 \( \frac{1133731711875}{959512576} a + \frac{6924008747375}{959512576} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -140 a + 299\) , \( -624 a - 1207\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-140a+299\right){x}-624a-1207$
3872.5-d5 3872.5-d \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/4\Z$ $1$ $0.239173832$ 2.892774765 \( -\frac{915988506230265125}{54875873536} a + \frac{1519749586080622375}{27437936768} \) \( \bigl[a\) , \( a\) , \( a\) , \( -2738 a - 1366\) , \( 86180 a - 19585\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-2738a-1366\right){x}+86180a-19585$
3872.5-d6 3872.5-d \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $0.239173832$ 2.892774765 \( \frac{915988506230265125}{54875873536} a + \frac{2123510665930979625}{54875873536} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -2140 a + 4619\) , \( -46032 a - 77943\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2140a+4619\right){x}-46032a-77943$
  Download to        

  *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.