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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
24.1-a1 24.1-a \(\Q(\sqrt{3}) \) \( 2^{3} \cdot 3 \) $0$ $\Z/4\Z$ $1$ $18.60223895$ 0.671250479 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 1035 a - 1791\) , \( -23450 a + 40617\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035a-1791\right){x}-23450a+40617$
24.1-b1 24.1-b \(\Q(\sqrt{3}) \) \( 2^{3} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $1.420877129$ 0.820343793 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 1033 a - 1794\) , \( 24484 a - 42410\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1033a-1794\right){x}+24484a-42410$
144.1-a1 144.1-a \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $2.098868579$ 1.211782339 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 209 a - 410\) , \( 2494 a - 4159\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(209a-410\right){x}+2494a-4159$
144.1-c1 144.1-c \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \) $0$ $\Z/4\Z$ $1$ $4.197737158$ 1.211782339 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 43232 a - 74880\) , \( -6451984 a + 11175164\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(43232a-74880\right){x}-6451984a+11175164$
768.1-e1 768.1-e \(\Q(\sqrt{3}) \) \( 2^{8} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $0.710438564$ 1.640687586 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4138 a - 7169\) , \( 191739 a - 332103\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(4138a-7169\right){x}+191739a-332103$
768.1-l1 768.1-l \(\Q(\sqrt{3}) \) \( 2^{8} \cdot 3 \) $1$ $\Z/2\Z$ $1.079273864$ $9.301119475$ 2.897852395 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4138 a - 7169\) , \( -191739 a + 332103\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(4138a-7169\right){x}-191739a+332103$
2304.1-q1 2304.1-q \(\Q(\sqrt{3}) \) \( 2^{8} \cdot 3^{2} \) $1$ $\Z/2\Z$ $2.786181258$ $1.049434289$ 3.376245242 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 172928 a - 299520\) , \( 51615872 a - 89401312\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(172928a-299520\right){x}+51615872a-89401312$
2304.1-bb1 2304.1-bb \(\Q(\sqrt{3}) \) \( 2^{8} \cdot 3^{2} \) $1$ $\Z/2\Z$ $2.786181258$ $2.098868579$ 3.376245242 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( a\) , \( 0\) , \( 172928 a - 299520\) , \( -51615872 a + 89401312\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(172928a-299520\right){x}-51615872a+89401312$
3072.1-e1 3072.1-e \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $1.285289264$ 2.968248410 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 430252 a - 745216\) , \( 202069724 a - 349995028\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(430252a-745216\right){x}+202069724a-349995028$
3072.1-f1 3072.1-f \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $1$ $\Z/2\Z$ $3.719487697$ $1.285289264$ 2.760090861 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 30890 a - 53505\) , \( 3879118 a - 6718827\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(30890a-53505\right){x}+3879118a-6718827$
3072.1-bt1 3072.1-bt \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $2.570578528$ 2.968248410 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 30890 a - 53505\) , \( -3879118 a + 6718827\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(30890a-53505\right){x}-3879118a+6718827$
3072.1-cc1 3072.1-cc \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $1$ $\Z/2\Z$ $3.719487697$ $2.570578528$ 2.760090861 \( -\frac{79558124472974}{3} a + 45932904578280 \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 430252 a - 745216\) , \( -202069724 a + 349995028\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(430252a-745216\right){x}-202069724a+349995028$
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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.