Elliptic curves over Q(17)\Q(\sqrt{17}) of conductor 512.2

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
512.2-a1	512.2-a	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{16}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1$	$16.65604516$	2.019842162	$-1088 a + 2816$	$\bigl[0$ , $-a$ , $0$ , $a + 2$ , $2 a + 3\bigr]$	${y}^2={x}^{3}-a{x}^{2}+\left(a+2\right){x}+2a+3$
512.2-a2	512.2-a	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{19}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1$	$16.65604516$	2.019842162	$-53387236 a + 136758060$	$\bigl[0$ , $a$ , $0$ , $75 a - 191$ , $-546 a + 1398\bigr]$	${y}^2={x}^{3}+a{x}^{2}+\left(75a-191\right){x}-546a+1398$
512.2-a3	512.2-a	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{14}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2Cs	$1$	$2^{2}$	$1$	$33.31209033$	2.019842162	$1008 a + 17168$	$\bigl[0$ , $a$ , $0$ , $5 a - 11$ , $-10 a + 26\bigr]$	${y}^2={x}^{3}+a{x}^{2}+\left(5a-11\right){x}-10a+26$
512.2-a4	512.2-a	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{19}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{3}$	$1$	$16.65604516$	2.019842162	$87515172 a + 136659620$	$\bigl[0$ , $a$ , $0$ , $-5 a + 9$ , $-30 a + 78\bigr]$	${y}^2={x}^{3}+a{x}^{2}+\left(-5a+9\right){x}-30a+78$
512.2-b1	512.2-b	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{22}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{4}$	$0.495413934$	$11.52843721$	2.770410930	$-404500 a + 1037028$	$\bigl[0$ , $-a - 1$ , $0$ , $136 a - 344$ , $-1200 a + 3072\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(136a-344\right){x}-1200a+3072$
512.2-b2	512.2-b	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{14}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2Cs	$1$	$2^{2}$	$0.990827869$	$23.05687443$	2.770410930	$240 a + 2576$	$\bigl[0$ , $-a - 1$ , $0$ , $11 a - 24$ , $-10 a + 24\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(11a-24\right){x}-10a+24$
512.2-b3	512.2-b	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{13}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$0.495413934$	$23.05687443$	2.770410930	$6168 a + 10976$	$\bigl[0$ , $a + 1$ , $0$ , $1$ , $0\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+{x}$
512.2-b4	512.2-b	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{19}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1.981655739$	$5.764218608$	2.770410930	$1335292 a + 2147084$	$\bigl[0$ , $-a - 1$ , $0$ , $81 a - 204$ , $568 a - 1456\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(81a-204\right){x}+568a-1456$
512.2-c1	512.2-c	$2$	$2$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{16}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1$	$15.16812741$	1.839405631	$-23360 a + 59136$	$\bigl[0$ , $a + 1$ , $0$ , $5 a - 9$ , $6 a - 14\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(5a-9\right){x}+6a-14$
512.2-c2	512.2-c	$2$	$2$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{14}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1$	$15.16812741$	1.839405631	$414800 a + 647728$	$\bigl[0$ , $-a - 1$ , $0$ , $11 a - 24$ , $510 a - 1308\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(11a-24\right){x}+510a-1308$
512.2-d1	512.2-d	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{17}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$1$	$8.009701860$	1.942638047	$184 a + 560$	$\bigl[0$ , $-a$ , $0$ , $-a + 5$ , $2 a - 6\bigr]$	${y}^2={x}^{3}-a{x}^{2}+\left(-a+5\right){x}+2a-6$
512.2-d2	512.2-d	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{16}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2Cs	$1$	$2^{3}$	$1$	$16.01940372$	1.942638047	$-1092 a + 5588$	$\bigl[0$ , $-a + 1$ , $0$ , $-9 a - 12$ , $-8 a - 12\bigr]$	${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a-12\right){x}-8a-12$
512.2-d3	512.2-d	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{20}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$1$	$8.009701860$	1.942638047	$-10297338 a + 26411786$	$\bigl[0$ , $-a + 1$ , $0$ , $-59 a - 92$ , $378 a + 588\bigr]$	${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-59a-92\right){x}+378a+588$
512.2-d4	512.2-d	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{23}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$1$	$8.009701860$	1.942638047	$910322 a + 1430310$	$\bigl[0$ , $-a + 1$ , $0$ , $-124 a - 192$ , $-1012 a - 1580\bigr]$	${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-124a-192\right){x}-1012a-1580$
512.2-e1	512.2-e	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{25}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{2}$	$1$	$6.239280630$	1.513247827	$-\frac{217}{16} a - \frac{339}{16}$	$\bigl[0$ , $1$ , $0$ , $0$ , $-8 a + 20\bigr]$	${y}^2={x}^{3}+{x}^{2}-8a+20$
512.2-e2	512.2-e	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{25}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{3}$	$1$	$12.47856126$	1.513247827	$-\frac{1592342311}{2} a + \frac{4078872403}{2}$	$\bigl[0$ , $-a - 1$ , $0$ , $-104 a - 168$ , $192 a + 304\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-104a-168\right){x}+192a+304$
512.2-e3	512.2-e	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{20}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2Cs	$1$	$2^{3}$	$1$	$12.47856126$	1.513247827	$\frac{159495}{4} a + \frac{481229}{4}$	$\bigl[0$ , $-a - 1$ , $0$ , $-69 a - 108$ , $-374 a - 584\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-69a-108\right){x}-374a-584$
512.2-e4	512.2-e	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{22}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{3}$	$1$	$3.119640315$	1.513247827	$\frac{23841914775}{2} a + \frac{37230413581}{2}$	$\bigl[0$ , $-1$ , $0$ , $768 a - 1968$ , $7764 a - 19888\bigr]$	${y}^2={x}^{3}-{x}^{2}+\left(768a-1968\right){x}+7764a-19888$
512.2-f1	512.2-f	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{25}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{3}$	$0.235830817$	$12.22307372$	2.796510914	$-\frac{217}{16} a - \frac{339}{16}$	$\bigl[0$ , $a$ , $0$ , $-5 a - 7$ , $50 a + 78\bigr]$	${y}^2={x}^{3}+a{x}^{2}+\left(-5a-7\right){x}+50a+78$
512.2-f2	512.2-f	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{25}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2^{3}$	$0.235830817$	$12.22307372$	2.796510914	$-\frac{1592342311}{2} a + \frac{4078872403}{2}$	$\bigl[0$ , $-a$ , $0$ , $90 a - 235$ , $-633 a + 1626\bigr]$	${y}^2={x}^{3}-a{x}^{2}+\left(90a-235\right){x}-633a+1626$
512.2-f3	512.2-f	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{20}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2Cs	$1$	$2^{3}$	$0.471661635$	$24.44614744$	2.796510914	$\frac{159495}{4} a + \frac{481229}{4}$	$\bigl[0$ , $-a$ , $0$ , $5 a - 15$ , $-6 a + 22\bigr]$	${y}^2={x}^{3}-a{x}^{2}+\left(5a-15\right){x}-6a+22$
512.2-f4	512.2-f	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{22}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$					$2$	2B	$1$	$2$	$0.943323270$	$12.22307372$	2.796510914	$\frac{23841914775}{2} a + \frac{37230413581}{2}$	$\bigl[0$ , $-a$ , $0$ , $-5 a - 55$ , $90 a + 54\bigr]$	${y}^2={x}^{3}-a{x}^{2}+\left(-5a-55\right){x}+90a+54$
512.2-g1	512.2-g	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{17}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1.156172055$	$9.650305188$	2.706070181	$184 a + 560$	$\bigl[0$ , $-a - 1$ , $0$ , $5 a + 8$ , $0\bigr]$	${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a+8\right){x}$
512.2-g2	512.2-g	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{16}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2Cs	$1$	$2^{3}$	$0.578086027$	$19.30061037$	2.706070181	$-1092 a + 5588$	$\bigl[0$ , $a + 1$ , $0$ , $3 a - 4$ , $2 a - 4\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-4\right){x}+2a-4$
512.2-g3	512.2-g	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{20}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$1.156172055$	$4.825152594$	2.706070181	$-10297338 a + 26411786$	$\bigl[0$ , $a + 1$ , $0$ , $33 a - 84$ , $140 a - 364\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(33a-84\right){x}+140a-364$
512.2-g4	512.2-g	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{23}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{4}$	$0.289043013$	$19.30061037$	2.706070181	$910322 a + 1430310$	$\bigl[0$ , $a + 1$ , $0$ , $8 a - 24$ , $-20 a + 52\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-24\right){x}-20a+52$
512.2-h1	512.2-h	$2$	$2$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{16}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$0.818306195$	$6.640608214$	2.635901835	$-23360 a + 59136$	$\bigl[0$ , $-a + 1$ , $0$ , $-7 a - 9$ , $-22 a - 34\bigr]$	${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a-9\right){x}-22a-34$
512.2-h2	512.2-h	$2$	$2$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{14}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1.636612390$	$6.640608214$	2.635901835	$414800 a + 647728$	$\bigl[0$ , $a - 1$ , $0$ , $-a$ , $-4\bigr]$	${y}^2={x}^{3}+\left(a-1\right){x}^{2}-a{x}-4$
512.2-i1	512.2-i	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{22}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{4}$	$0.399642117$	$14.24941430$	2.762318808	$-404500 a + 1037028$	$\bigl[0$ , $a - 1$ , $0$ , $4 a$ , $16\bigr]$	${y}^2={x}^{3}+\left(a-1\right){x}^{2}+4a{x}+16$
512.2-i2	512.2-i	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{14}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2Cs	$1$	$2^{2}$	$0.799284235$	$28.49882861$	2.762318808	$240 a + 2576$	$\bigl[0$ , $a - 1$ , $0$ , $-a$ , $0\bigr]$	${y}^2={x}^{3}+\left(a-1\right){x}^{2}-a{x}$
512.2-i3	512.2-i	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{13}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$1$	$1.598568471$	$14.24941430$	2.762318808	$6168 a + 10976$	$\bigl[0$ , $a$ , $0$ , $-14 a + 38$ , $-15 a + 39\bigr]$	${y}^2={x}^{3}+a{x}^{2}+\left(-14a+38\right){x}-15a+39$
512.2-i4	512.2-i	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{19}$	$1.75259$	$(-a+2), (-a-1)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$0.399642117$	$14.24941430$	2.762318808	$1335292 a + 2147084$	$\bigl[0$ , $a - 1$ , $0$ , $-11 a - 20$ , $26 a + 40\bigr]$	${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a-20\right){x}+26a+40$
512.2-j1	512.2-j	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{16}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2$	$1$	$10.62255413$	1.288173903	$-1088 a + 2816$	$\bigl[0$ , $-1$ , $0$ , $6 a - 15$ , $7 a - 18\bigr]$	${y}^2={x}^{3}-{x}^{2}+\left(6a-15\right){x}+7a-18$
512.2-j2	512.2-j	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{19}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/4\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$1$	$21.24510827$	1.288173903	$-53387236 a + 136758060$	$\bigl[0$ , $a + 1$ , $0$ , $-15 a - 28$ , $20 a + 36\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-15a-28\right){x}+20a+36$
512.2-j3	512.2-j	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$2^{14}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2Cs	$1$	$2^{2}$	$1$	$21.24510827$	1.288173903	$1008 a + 17168$	$\bigl[0$ , $a + 1$ , $0$ , $-5 a - 8$ , $-18 a - 28\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-5a-8\right){x}-18a-28$
512.2-j4	512.2-j	$4$	$4$	$\Q(\sqrt{17})$	$2$	$[2, 0]$	512.2	$2^{9}$	$- 2^{19}$	$1.75259$	$(-a+2), (-a-1)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$				✓	$2$	2B	$1$	$2^{2}$	$1$	$5.311277067$	1.288173903	$87515172 a + 136659620$	$\bigl[0$ , $a + 1$ , $0$ , $-95 a - 148$ , $-848 a - 1324\bigr]$	${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-95a-148\right){x}-848a-1324$

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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.