Learn more

Refine search


Results (26 matches)

  displayed columns for results
Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
123904.1-a1 123904.1-a \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.300686726$ $2.139025749$ 2.970705695 \( -\frac{82944}{11} a + \frac{41472}{11} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a + 16\) , \( -14 a - 1\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a+16\right){x}-14a-1$
123904.1-b1 123904.1-b \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.113810843$ $1.057465715$ 1.667633279 \( \frac{13824}{1331} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -8 a\) , \( 112\bigr] \) ${y}^2={x}^{3}-8a{x}+112$
123904.1-c1 123904.1-c \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.300686726$ $2.139025749$ 2.970705695 \( \frac{82944}{11} a - \frac{41472}{11} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a - 16\) , \( 14 a - 15\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a-16\right){x}+14a-15$
123904.1-d1 123904.1-d \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.206774281$ $1.661708817$ 1.587014170 \( -\frac{2515456}{11} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 45 a\) , \( 133\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+45a{x}+133$
123904.1-e1 123904.1-e \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.208486268$ 2.790879488 \( \frac{8303616}{11} a + \frac{67599872}{11} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 136 a - 141\) , \( 680 a - 347\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(136a-141\right){x}+680a-347$
123904.1-f1 123904.1-f \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.208486268$ 2.790879488 \( -\frac{8303616}{11} a + \frac{75903488}{11} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -5 a + 141\) , \( -680 a + 333\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-5a+141\right){x}-680a+333$
123904.1-g1 123904.1-g \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.412611165$ $2.347750992$ 4.474271860 \( \frac{512}{11} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3 a\) , \( -11\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}-3a{x}-11$
123904.1-h1 123904.1-h \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.469985615$ $2.205099606$ 3.742921037 \( \frac{74088}{121} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 7\) , \( 9 a - 8\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-7\right){x}+9a-8$
123904.1-h2 123904.1-h \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.734992807$ $4.410199213$ 3.742921037 \( \frac{46656}{11} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 3\) , \( 3 a\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+3\right){x}+3a$
123904.1-i1 123904.1-i \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.543417037$ 1.782184484 \( \frac{216000}{121} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -19 a\) , \( -6 a + 3\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}-19a{x}-6a+3$
123904.1-i2 123904.1-i \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.086834075$ 1.782184484 \( \frac{5832000}{11} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -14 a\) , \( 16 a - 8\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}-14a{x}+16a-8$
123904.1-j1 123904.1-j \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.018431820$ $0.399464569$ 4.176863274 \( -\frac{17535471192}{1771561} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -433 a\) , \( 4340 a - 2170\bigr] \) ${y}^2={x}^{3}-433a{x}+4340a-2170$
123904.1-j2 123904.1-j \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.509215910$ $0.798929139$ 4.176863274 \( \frac{150229394496}{1331} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -443 a\) , \( 4144 a - 2072\bigr] \) ${y}^2={x}^{3}-443a{x}+4144a-2072$
123904.1-k1 123904.1-k \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.018431820$ $0.399464569$ 4.176863274 \( -\frac{17535471192}{1771561} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 433 a - 433\) , \( -4340 a + 2170\bigr] \) ${y}^2={x}^{3}+\left(433a-433\right){x}-4340a+2170$
123904.1-k2 123904.1-k \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.509215910$ $0.798929139$ 4.176863274 \( \frac{150229394496}{1331} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 443 a - 443\) , \( -4144 a + 2072\bigr] \) ${y}^2={x}^{3}+\left(443a-443\right){x}-4144a+2072$
123904.1-l1 123904.1-l \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.543417037$ 1.782184484 \( \frac{216000}{121} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -19 a\) , \( 6 a - 3\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-19a{x}+6a-3$
123904.1-l2 123904.1-l \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.086834075$ 1.782184484 \( \frac{5832000}{11} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -14 a\) , \( -16 a + 8\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-14a{x}-16a+8$
123904.1-m1 123904.1-m \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.469985615$ $2.205099606$ 3.742921037 \( \frac{74088}{121} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 7\) , \( -9 a + 8\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-7\right){x}-9a+8$
123904.1-m2 123904.1-m \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.734992807$ $4.410199213$ 3.742921037 \( \frac{46656}{11} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 3\) , \( -3 a\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+3\right){x}-3a$
123904.1-n1 123904.1-n \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.308894972$ $2.347750992$ 3.349594481 \( \frac{512}{11} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 3\) , \( 11\bigr] \) ${y}^2={x}^{3}+{x}^{2}+3{x}+11$
123904.1-o1 123904.1-o \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.718571393$ $1.208486268$ 4.010892324 \( -\frac{8303616}{11} a + \frac{75903488}{11} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -136 a - 5\) , \( 680 a - 333\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-136a-5\right){x}+680a-333$
123904.1-p1 123904.1-p \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.718571393$ $1.208486268$ 4.010892324 \( \frac{8303616}{11} a + \frac{67599872}{11} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 5 a + 136\) , \( -680 a + 347\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(5a+136\right){x}-680a+347$
123904.1-q1 123904.1-q \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.843949982$ $1.661708817$ 6.477404111 \( -\frac{2515456}{11} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -45\) , \( -133\bigr] \) ${y}^2={x}^{3}+{x}^{2}-45{x}-133$
123904.1-r1 123904.1-r \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.139025749$ 4.939868369 \( \frac{82944}{11} a - \frac{41472}{11} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 16\) , \( -14 a + 15\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-16\right){x}-14a+15$
123904.1-s1 123904.1-s \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.502931376$ $1.057465715$ 7.369289890 \( \frac{13824}{1331} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 8\) , \( -112\bigr] \) ${y}^2={x}^{3}+8{x}-112$
123904.1-t1 123904.1-t \(\Q(\sqrt{-3}) \) \( 2^{10} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.139025749$ 4.939868369 \( -\frac{82944}{11} a + \frac{41472}{11} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 17 a - 8\) , \( 6 a + 17\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(17a-8\right){x}+6a+17$
  displayed columns for results

  *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.