Elliptic curve search results

Results (18 matches)

 

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
5265.e1	5265b1	5265.e	5265b	$1$	$1$	\( 3^{4} \cdot 5 \cdot 13 \)	\( - 3^{12} \cdot 5 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$3.835392433$	$1$		$2$	$1080$	$0.224203$	$-2146689/65$	$0.76351$	$3.24592$	$[1, -1, 1, -218, -1214]$	\(y^2+xy+y=x^3-x^2-218x-1214\)	260.2.0.?	$[(38, 191)]$
5265.m1	5265o1	5265.m	5265o	$1$	$1$	\( 3^{4} \cdot 5 \cdot 13 \)	\( - 3^{6} \cdot 5 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$0.478012061$	$1$		$2$	$360$	$-0.325103$	$-2146689/65$	$0.76351$	$2.47666$	$[1, -1, 0, -24, 53]$	\(y^2+xy=x^3-x^2-24x+53\)	260.2.0.?	$[(4, 1)]$
26325.i1	26325bi1	26325.i	26325bi	$1$	$1$	\( 3^{4} \cdot 5^{2} \cdot 13 \)	\( - 3^{6} \cdot 5^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$0.926885025$	$1$		$4$	$8640$	$0.479616$	$-2146689/65$	$0.76351$	$3.03379$	$[1, -1, 1, -605, 6022]$	\(y^2+xy+y=x^3-x^2-605x+6022\)	260.2.0.?	$[(14, 5)]$
26325.bc1	26325o1	26325.bc	26325o	$1$	$1$	\( 3^{4} \cdot 5^{2} \cdot 13 \)	\( - 3^{12} \cdot 5^{7} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$25920$	$1.028921$	$-2146689/65$	$0.76351$	$3.68141$	$[1, -1, 0, -5442, -157159]$	\(y^2+xy=x^3-x^2-5442x-157159\)	260.2.0.?	$[]$
68445.i1	68445bh1	68445.i	68445bh	$1$	$1$	\( 3^{4} \cdot 5 \cdot 13^{2} \)	\( - 3^{6} \cdot 5 \cdot 13^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$0.509635348$	$1$		$14$	$60480$	$0.957372$	$-2146689/65$	$0.76351$	$3.28835$	$[1, -1, 1, -4088, 104212]$	\(y^2+xy+y=x^3-x^2-4088x+104212\)	260.2.0.?	$[(10, 248), (-68, 287)]$
68445.z1	68445s1	68445.z	68445s	$1$	$1$	\( 3^{4} \cdot 5 \cdot 13^{2} \)	\( - 3^{12} \cdot 5 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$4$	$2$	$0$	$181440$	$1.506678$	$-2146689/65$	$0.76351$	$3.88039$	$[1, -1, 0, -36789, -2776942]$	\(y^2+xy=x^3-x^2-36789x-2776942\)	260.2.0.?	$[]$
84240.j1	84240p1	84240.j	84240p	$1$	$1$	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 13 \)	\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$69120$	$0.917350$	$-2146689/65$	$0.76351$	$3.18580$	$[0, 0, 0, -3483, 81162]$	\(y^2=x^3-3483x+81162\)	260.2.0.?	$[]$
84240.bi1	84240by1	84240.bi	84240by	$1$	$1$	\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 13 \)	\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$23040$	$0.368044$	$-2146689/65$	$0.76351$	$2.60460$	$[0, 0, 0, -387, -3006]$	\(y^2=x^3-387x-3006\)	260.2.0.?	$[]$
257985.m1	257985m1	257985.m	257985m	$1$	$1$	\( 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 3^{12} \cdot 5 \cdot 7^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$388800$	$1.197159$	$-2146689/65$	$0.76351$	$3.16911$	$[1, -1, 1, -10667, 437644]$	\(y^2+xy+y=x^3-x^2-10667x+437644\)	260.2.0.?	$[]$
257985.bn1	257985bn1	257985.bn	257985bn	$1$	$1$	\( 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 3^{6} \cdot 5 \cdot 7^{6} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$129600$	$0.647852$	$-2146689/65$	$0.76351$	$2.64012$	$[1, -1, 0, -1185, -15814]$	\(y^2+xy=x^3-x^2-1185x-15814\)	260.2.0.?	$[]$
336960.u1	336960u1	336960.u	336960u	$1$	$1$	\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 13 \)	\( - 2^{18} \cdot 3^{6} \cdot 5 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$184320$	$0.714618$	$-2146689/65$	$0.76351$	$2.64767$	$[0, 0, 0, -1548, -24048]$	\(y^2=x^3-1548x-24048\)	260.2.0.?	$[]$
336960.bz1	336960bz1	336960.bz	336960bz	$1$	$1$	\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 13 \)	\( - 2^{18} \cdot 3^{6} \cdot 5 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1.724099931$	$1$		$2$	$184320$	$0.714618$	$-2146689/65$	$0.76351$	$2.64767$	$[0, 0, 0, -1548, 24048]$	\(y^2=x^3-1548x+24048\)	260.2.0.?	$[(46, 224)]$
336960.dk1	336960dk1	336960.dk	336960dk	$1$	$1$	\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 13 \)	\( - 2^{18} \cdot 3^{12} \cdot 5 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.263924$	$-2146689/65$	$0.76351$	$3.16557$	$[0, 0, 0, -13932, 649296]$	\(y^2=x^3-13932x+649296\)	260.2.0.?	$[]$
336960.ex1	336960ex1	336960.ex	336960ex	$1$	$1$	\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 13 \)	\( - 2^{18} \cdot 3^{12} \cdot 5 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$12.76798752$	$1$		$0$	$552960$	$1.263924$	$-2146689/65$	$0.76351$	$3.16557$	$[0, 0, 0, -13932, -649296]$	\(y^2=x^3-13932x-649296\)	260.2.0.?	$[(2263894/89, 3049808480/89)]$
342225.ba1	342225ba1	342225.ba	342225ba	$1$	$1$	\( 3^{4} \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{12} \cdot 5^{7} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$18.10041730$	$1$		$0$	$4354560$	$2.311398$	$-2146689/65$	$0.76351$	$4.14810$	$[1, -1, 1, -919730, -348037478]$	\(y^2+xy+y=x^3-x^2-919730x-348037478\)	260.2.0.?	$[(259604654/431, 2592877425905/431)]$
342225.cp1	342225cp1	342225.cp	342225cp	$1$	$1$	\( 3^{4} \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{6} \cdot 5^{7} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$1451520$	$1.762091$	$-2146689/65$	$0.76351$	$3.63083$	$[1, -1, 0, -102192, 12924341]$	\(y^2+xy=x^3-x^2-102192x+12924341\)	260.2.0.?	$[]$
421200.fo1	421200fo1	421200.fo	421200fo	$1$	$1$	\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$1$	$1$		$0$	$552960$	$1.172764$	$-2146689/65$	$0.76351$	$3.02656$	$[0, 0, 0, -9675, -375750]$	\(y^2=x^3-9675x-375750\)	260.2.0.?	$[]$
421200.gb1	421200gb1	421200.gb	421200gb	$1$	$1$	\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13 \)	\( - 2^{12} \cdot 3^{12} \cdot 5^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$260$	$2$	$0$	$2.777885488$	$1$		$2$	$1658880$	$1.722069$	$-2146689/65$	$0.76351$	$3.53553$	$[0, 0, 0, -87075, 10145250]$	\(y^2=x^3-87075x+10145250\)	260.2.0.?	$[(55, 2350)]$