Elliptic curve search results

Results (26 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
7260.k2	7260l1	7260.k	7260l	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$0.252101888$	$1$		$13$	$2304$	$0.149536$	$1048576/2025$	$1.10454$	$2.77590$	$[0, 1, 0, 59, 284]$	\(y^2=x^3+x^2+59x+284\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(-1, 15)]$
7260.o2	7260k1	7260.o	7260k	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$4.021832615$	$1$		$3$	$25344$	$1.348484$	$1048576/2025$	$1.10454$	$4.39425$	$[0, 1, 0, 7099, -349560]$	\(y^2=x^3+x^2+7099x-349560\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(232, 3720)]$
21780.o2	21780q1	21780.o	21780q	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$18432$	$0.698842$	$1048576/2025$	$1.10454$	$3.13050$	$[0, 0, 0, 528, -7139]$	\(y^2=x^3+528x-7139\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
21780.bb2	21780p1	21780.bb	21780p	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$202752$	$1.897789$	$1048576/2025$	$1.10454$	$4.57086$	$[0, 0, 0, 63888, 9502009]$	\(y^2=x^3+63888x+9502009\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
29040.a2	29040bx1	29040.a	29040bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$101376$	$1.348484$	$1048576/2025$	$1.10454$	$3.80147$	$[0, -1, 0, 7099, 349560]$	\(y^2=x^3-x^2+7099x+349560\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
29040.ba2	29040bw1	29040.ba	29040bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$9216$	$0.149536$	$1048576/2025$	$1.10454$	$2.40143$	$[0, -1, 0, 59, -284]$	\(y^2=x^3-x^2+59x-284\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
36300.d2	36300d1	36300.d	36300d	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$608256$	$2.153202$	$1048576/2025$	$1.10454$	$4.64039$	$[0, -1, 0, 177467, -44049938]$	\(y^2=x^3-x^2+177467x-44049938\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
36300.be2	36300c1	36300.be	36300c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$55296$	$0.954255$	$1048576/2025$	$1.10454$	$3.27011$	$[0, -1, 0, 1467, 32562]$	\(y^2=x^3-x^2+1467x+32562\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
87120.dd2	87120fi1	87120.dd	87120fi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$811008$	$1.897789$	$1048576/2025$	$1.10454$	$4.01380$	$[0, 0, 0, 63888, -9502009]$	\(y^2=x^3+63888x-9502009\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
87120.gh2	87120ff1	87120.gh	87120ff	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$73728$	$0.698842$	$1048576/2025$	$1.10454$	$2.74898$	$[0, 0, 0, 528, 7139]$	\(y^2=x^3+528x+7139\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
108900.k2	108900bh1	108900.k	108900bh	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$5.812108257$	$1$		$1$	$4866048$	$2.702507$	$1048576/2025$	$1.10454$	$4.76918$	$[0, 0, 0, 1597200, 1187751125]$	\(y^2=x^3+1597200x+1187751125\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(30385/2, 5376375/2)]$
108900.dr2	108900bg1	108900.dr	108900bg	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1.195376523$	$1$		$7$	$442368$	$1.503561$	$1048576/2025$	$1.10454$	$3.52869$	$[0, 0, 0, 13200, -892375]$	\(y^2=x^3+13200x-892375\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(110, 1375)]$
116160.cl2	116160bm1	116160.cl	116160bm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$2.347219409$	$1$		$11$	$73728$	$0.496109$	$1048576/2025$	$1.10454$	$2.47258$	$[0, -1, 0, 235, 2037]$	\(y^2=x^3-x^2+235x+2037\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(4, 55), (-3, 36)]$
116160.et2	116160bl1	116160.et	116160bl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$4$	$2$	$1$	$811008$	$1.695057$	$1048576/2025$	$1.10454$	$3.70620$	$[0, -1, 0, 28395, -2824875]$	\(y^2=x^3-x^2+28395x-2824875\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
116160.hn2	116160ir1	116160.hn	116160ir	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$811008$	$1.695057$	$1048576/2025$	$1.10454$	$3.70620$	$[0, 1, 0, 28395, 2824875]$	\(y^2=x^3+x^2+28395x+2824875\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
116160.jj2	116160ip1	116160.jj	116160ip	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$73728$	$0.496109$	$1048576/2025$	$1.10454$	$2.47258$	$[0, 1, 0, 235, -2037]$	\(y^2=x^3+x^2+235x-2037\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
145200.fx2	145200bl1	145200.fx	145200bl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1.397414406$	$1$		$5$	$221184$	$0.954255$	$1048576/2025$	$1.10454$	$2.88870$	$[0, 1, 0, 1467, -32562]$	\(y^2=x^3+x^2+1467x-32562\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(78, 750)]$
145200.ky2	145200dg1	145200.ky	145200dg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$7.813774955$	$1$		$1$	$2433024$	$2.153202$	$1048576/2025$	$1.10454$	$4.09916$	$[0, 1, 0, 177467, 44049938]$	\(y^2=x^3+x^2+177467x+44049938\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(47762/7, 11601750/7)]$
348480.j2	348480j1	348480.j	348480j	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$3.437697160$	$1$		$13$	$589824$	$1.045416$	$1048576/2025$	$1.10454$	$2.77625$	$[0, 0, 0, 2112, -57112]$	\(y^2=x^3+2112x-57112\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(49, 405), (454, 9720)]$
348480.y2	348480y1	348480.y	348480y	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$4.104206012$	$1$		$3$	$6488064$	$2.244362$	$1048576/2025$	$1.10454$	$3.90367$	$[0, 0, 0, 255552, -76016072]$	\(y^2=x^3+255552x-76016072\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(434, 10800)]$
348480.ib2	348480ib1	348480.ib	348480ib	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1.716665553$	$1$		$3$	$589824$	$1.045416$	$1048576/2025$	$1.10454$	$2.77625$	$[0, 0, 0, 2112, 57112]$	\(y^2=x^3+2112x+57112\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(26, 360)]$
348480.iq2	348480iq1	348480.iq	348480iq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$4$	$2$	$1$	$6488064$	$2.244362$	$1048576/2025$	$1.10454$	$3.90367$	$[0, 0, 0, 255552, 76016072]$	\(y^2=x^3+255552x+76016072\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
355740.x2	355740x1	355740.x	355740x	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$2.816618141$	$1$		$17$	$663552$	$1.122492$	$1048576/2025$	$1.10454$	$2.84413$	$[0, -1, 0, 2875, -91650]$	\(y^2=x^3-x^2+2875x-91650\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(75, 735), (35, 225)]$
355740.cb2	355740cb1	355740.cb	355740cb	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$4$	$2$	$1$	$7299072$	$2.321438$	$1048576/2025$	$1.10454$	$3.96973$	$[0, -1, 0, 347835, 120594762]$	\(y^2=x^3-x^2+347835x+120594762\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[ ]$
435600.be2	435600be1	435600.be	435600be	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1.948871058$	$1$		$3$	$1769472$	$1.503561$	$1048576/2025$	$1.10454$	$3.15195$	$[0, 0, 0, 13200, 892375]$	\(y^2=x^3+13200x+892375\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(165, 2750)]$
435600.tp2	435600tp1	435600.tp	435600tp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$19.08580321$	$1$		$1$	$19464192$	$2.702507$	$1048576/2025$	$1.10454$	$4.25999$	$[0, 0, 0, 1597200, -1187751125]$	\(y^2=x^3+1597200x-1187751125\)	2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$	$[(15822825665/2182, 2099075895194625/2182)]$

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