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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
129.b2 129.b \( 3 \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -30, -29]$ \(y^2+xy+y=x^3-30x-29\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 172.24.0.?, 516.48.0.?
387.a2 387.a \( 3^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -266, 776]$ \(y^2+xy+y=x^3-x^2-266x+776\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 172.24.0.?, 516.48.0.?
2064.e2 2064.e \( 2^{4} \cdot 3 \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.393619927$ $[0, -1, 0, -472, 1840]$ \(y^2=x^3-x^2-472x+1840\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 172.24.0.?, 516.48.0.?
3225.b2 3225.b \( 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -738, -3594]$ \(y^2+xy+y=x^3+x^2-738x-3594\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 172.12.0.?, $\ldots$
5547.b2 5547.b \( 3 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -54584, 2067536]$ \(y^2+xy+y=x^3+x^2-54584x+2067536\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 172.24.0.?, 516.48.0.?
6192.g2 6192.g \( 2^{4} \cdot 3^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -4251, -45430]$ \(y^2=x^3-4251x-45430\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 172.24.0.?, 516.48.0.?
6321.f2 6321.f \( 3 \cdot 7^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -1446, 8415]$ \(y^2+xy=x^3+x^2-1446x+8415\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$
8256.f2 8256.f \( 2^{6} \cdot 3 \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1889, -12831]$ \(y^2=x^3-x^2-1889x-12831\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 172.12.0.?, $\ldots$
8256.ba2 8256.ba \( 2^{6} \cdot 3 \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.777564832$ $[0, 1, 0, -1889, 12831]$ \(y^2=x^3+x^2-1889x+12831\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 172.12.0.?, $\ldots$
9675.s2 9675.s \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.141902573$ $[1, -1, 0, -6642, 90391]$ \(y^2+xy=x^3-x^2-6642x+90391\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 172.12.0.?, $\ldots$
15609.e2 15609.e \( 3 \cdot 11^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -3572, 34695]$ \(y^2+xy=x^3-3572x+34695\) 2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 132.24.0.?, 172.12.0.?, $\ldots$
16641.k2 16641.k \( 3^{2} \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $35.28282659$ $[1, -1, 0, -491256, -56314733]$ \(y^2+xy=x^3-x^2-491256x-56314733\) 2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 172.24.0.?, 516.48.0.?
18963.c2 18963.c \( 3^{2} \cdot 7^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.805091414$ $[1, -1, 1, -13019, -240222]$ \(y^2+xy+y=x^3-x^2-13019x-240222\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$
21801.d2 21801.d \( 3 \cdot 13^{2} \cdot 43 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $3.022482235$ $[1, 0, 0, -4989, -58176]$ \(y^2+xy=x^3-4989x-58176\) 2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 156.24.0.?, 172.12.0.?, $\ldots$
24768.ce2 24768.ce \( 2^{6} \cdot 3^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.720479767$ $[0, 0, 0, -17004, 363440]$ \(y^2=x^3-17004x+363440\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 172.12.0.?, $\ldots$
24768.cf2 24768.cf \( 2^{6} \cdot 3^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.561261291$ $[0, 0, 0, -17004, -363440]$ \(y^2=x^3-17004x-363440\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 172.12.0.?, $\ldots$
37281.b2 37281.b \( 3 \cdot 17^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.742078964$ $[1, 1, 0, -8531, -132720]$ \(y^2+xy=x^3+x^2-8531x-132720\) 2.6.0.a.1, 12.12.0.b.1, 68.12.0-2.a.1.1, 172.12.0.?, 204.24.0.?, $\ldots$
46569.c2 46569.c \( 3 \cdot 19^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -10657, 175886]$ \(y^2+xy+y=x^3+x^2-10657x+175886\) 2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$
46827.o2 46827.o \( 3^{2} \cdot 11^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -32148, -936765]$ \(y^2+xy=x^3-x^2-32148x-936765\) 2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 132.24.0.?, 172.12.0.?, $\ldots$
51600.da2 51600.da \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.186460779$ $[0, 1, 0, -11808, 206388]$ \(y^2=x^3+x^2-11808x+206388\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 172.12.0.?, $\ldots$
65403.m2 65403.m \( 3^{2} \cdot 13^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -44901, 1570752]$ \(y^2+xy=x^3-x^2-44901x+1570752\) 2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 156.24.0.?, 172.12.0.?, $\ldots$
68241.h2 68241.h \( 3 \cdot 23^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -15617, 318575]$ \(y^2+xy+y=x^3-15617x+318575\) 2.6.0.a.1, 12.12.0.b.1, 92.12.0.?, 172.12.0.?, 276.24.0.?, $\ldots$
88752.z2 88752.z \( 2^{4} \cdot 3 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -873344, -134069004]$ \(y^2=x^3+x^2-873344x-134069004\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 172.24.0.?, 516.48.0.?
101136.bx2 101136.bx \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.710049995$ $[0, 1, 0, -23144, -584844]$ \(y^2=x^3+x^2-23144x-584844\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$
108489.d2 108489.d \( 3 \cdot 29^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -24827, -651544]$ \(y^2+xy+y=x^3+x^2-24827x-651544\) 2.6.0.a.1, 12.12.0.b.1, 116.12.0.?, 172.12.0.?, 348.24.0.?, $\ldots$
111843.e2 111843.e \( 3^{2} \cdot 17^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -76784, 3506658]$ \(y^2+xy+y=x^3-x^2-76784x+3506658\) 2.6.0.a.1, 12.12.0.b.1, 68.12.0-2.a.1.1, 172.12.0.?, 204.24.0.?, $\ldots$
123969.c2 123969.c \( 3 \cdot 31^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $21.60094346$ $[1, 1, 0, -28369, 771400]$ \(y^2+xy=x^3+x^2-28369x+771400\) 2.6.0.a.1, 12.12.0.b.1, 124.12.0.?, 172.12.0.?, 372.24.0.?, $\ldots$
138675.t2 138675.t \( 3 \cdot 5^{2} \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $11.73892125$ $[1, 0, 1, -1364601, 261171223]$ \(y^2+xy+y=x^3-1364601x+261171223\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.3, 172.12.0.?, $\ldots$
139707.w2 139707.w \( 3^{2} \cdot 19^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $11.50656808$ $[1, -1, 0, -95913, -4844840]$ \(y^2+xy=x^3-x^2-95913x-4844840\) 2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$
154800.dj2 154800.dj \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.945599584$ $[0, 0, 0, -106275, -5678750]$ \(y^2=x^3-106275x-5678750\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 172.12.0.?, $\ldots$
158025.n2 158025.n \( 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $1.974629530$ $[1, 0, 0, -36163, 1124192]$ \(y^2+xy=x^3-36163x+1124192\) 2.6.0.a.1, 12.12.0.b.1, 140.12.0.?, 172.12.0.?, 420.24.0.?, $\ldots$
176601.a2 176601.a \( 3 \cdot 37^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.574676459$ $[1, 0, 0, -40414, -1335061]$ \(y^2+xy=x^3-40414x-1335061\) 2.6.0.a.1, 12.12.0.b.1, 148.12.0.?, 172.12.0.?, 444.24.0.?, $\ldots$
204723.l2 204723.l \( 3^{2} \cdot 23^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -140549, -8601532]$ \(y^2+xy+y=x^3-x^2-140549x-8601532\) 2.6.0.a.1, 12.12.0.b.1, 92.12.0.?, 172.12.0.?, 276.24.0.?, $\ldots$
206400.cq2 206400.cq \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.188281251$ $[0, -1, 0, -47233, 1698337]$ \(y^2=x^3-x^2-47233x+1698337\) 2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 120.24.0.?, 172.12.0.?, $\ldots$
206400.ic2 206400.ic \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -47233, -1698337]$ \(y^2=x^3+x^2-47233x-1698337\) 2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 120.24.0.?, 172.12.0.?, $\ldots$
216849.q2 216849.q \( 3 \cdot 41^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $27.97022411$ $[1, 1, 0, -49624, -1832645]$ \(y^2+xy=x^3+x^2-49624x-1832645\) 2.6.0.a.1, 12.12.0.b.1, 164.12.0.?, 172.12.0.?, 492.24.0.?, $\ldots$
249744.bh2 249744.bh \( 2^{4} \cdot 3 \cdot 11^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.981355825$ $[0, -1, 0, -57152, -2220480]$ \(y^2=x^3-x^2-57152x-2220480\) 2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 132.24.0.?, 172.12.0.?, $\ldots$
266256.ck2 266256.ck \( 2^{4} \cdot 3^{2} \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -7860099, 3612003010]$ \(y^2=x^3-7860099x+3612003010\) 2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 172.24.0.?, 516.48.0.?
271803.h2 271803.h \( 3 \cdot 7^{2} \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 0, -2674617, -717188760]$ \(y^2+xy=x^3-2674617x-717188760\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$
284961.g2 284961.g \( 3 \cdot 43 \cdot 47^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -65212, 2724125]$ \(y^2+xy+y=x^3-65212x+2724125\) 2.6.0.a.1, 12.12.0.b.1, 172.12.0.?, 188.12.0.?, 516.24.0.?, $\ldots$
303408.dt2 303408.dt \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.793148689$ $[0, 0, 0, -208299, 15582490]$ \(y^2=x^3-208299x+15582490\) 2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 172.12.0.?, $\ldots$
325467.m2 325467.m \( 3^{2} \cdot 29^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.410604279$ $[1, -1, 0, -223443, 17368240]$ \(y^2+xy=x^3-x^2-223443x+17368240\) 2.6.0.a.1, 12.12.0.b.1, 116.12.0.?, 172.12.0.?, 348.24.0.?, $\ldots$
348816.i2 348816.i \( 2^{4} \cdot 3 \cdot 13^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.573454924$ $[0, -1, 0, -79824, 3723264]$ \(y^2=x^3-x^2-79824x+3723264\) 2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 156.24.0.?, 172.12.0.?, $\ldots$
355008.bu2 355008.bu \( 2^{6} \cdot 3 \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $30.36870333$ $[0, -1, 0, -3493377, -1069058655]$ \(y^2=x^3-x^2-3493377x-1069058655\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 172.12.0.?, $\ldots$
355008.dz2 355008.dz \( 2^{6} \cdot 3 \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $16.03735757$ $[0, 1, 0, -3493377, 1069058655]$ \(y^2=x^3+x^2-3493377x+1069058655\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 172.12.0.?, $\ldots$
362361.a2 362361.a \( 3 \cdot 43 \cdot 53^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.929163336$ $[1, 1, 1, -82924, -3948604]$ \(y^2+xy+y=x^3+x^2-82924x-3948604\) 2.6.0.a.1, 12.12.0.b.1, 172.12.0.?, 212.12.0.?, 516.24.0.?, $\ldots$
371907.a2 371907.a \( 3^{2} \cdot 31^{2} \cdot 43 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $18.14347501$ $[1, -1, 1, -255326, -21083124]$ \(y^2+xy+y=x^3-x^2-255326x-21083124\) 2.6.0.a.1, 12.12.0.b.1, 124.12.0.?, 172.12.0.?, 372.24.0.?, $\ldots$
390225.bc2 390225.bc \( 3 \cdot 5^{2} \cdot 11^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 0, -89300, 4336875]$ \(y^2+xy=x^3+x^2-89300x+4336875\) 2.6.0.a.1, 12.12.0.b.1, 172.12.0.?, 220.12.0.?, 516.24.0.?, $\ldots$
404544.de2 404544.de \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.889641117$ $[0, -1, 0, -92577, -4586175]$ \(y^2=x^3-x^2-92577x-4586175\) 2.6.0.a.1, 12.12.0.b.1, 56.12.0-2.a.1.1, 168.24.0.?, 172.12.0.?, $\ldots$
404544.hb2 404544.hb \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -92577, 4586175]$ \(y^2=x^3+x^2-92577x+4586175\) 2.6.0.a.1, 12.12.0.b.1, 56.12.0-2.a.1.1, 168.24.0.?, 172.12.0.?, $\ldots$
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