Elliptic curves over $\Q$ of conductor 30446

Results (16 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
30446.a1	30446f3	30446.a	30446f	$3$	$9$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{54} \cdot 13 \cdot 1171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.3	3B.1.2	$274014$	$144$	$3$	$22.39402757$	$1$		$0$	$1003104$	$2.685844$	$-6044818473864897584091625/274233188509844242432$	$0.96824$	$5.53451$	$[1, 0, 1, -3795071, -2955377838]$	\(y^2+xy+y=x^3-3795071x-2955377838\)	3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 10539.72.0.?, 30446.2.0.?, 91338.16.0.?, $\ldots$	$[(41015969251447/134673, 10445305762936355956/134673)]$
30446.a2	30446f1	30446.a	30446f	$3$	$9$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{6} \cdot 13^{9} \cdot 1171 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	9.24.0.1	3B.1.1	$274014$	$144$	$3$	$2.488225285$	$1$		$6$	$111456$	$1.587233$	$-4989910628484015625/794743601010112$	$0.94509$	$4.19394$	$[1, 0, 1, -35601, 2916644]$	\(y^2+xy+y=x^3-35601x+2916644\)	3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 10539.72.0.?, 30446.2.0.?, 91338.16.0.?, $\ldots$	$[(-221, 58)]$
30446.a3	30446f2	30446.a	30446f	$3$	$9$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{18} \cdot 13^{3} \cdot 1171^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.24.0.1	3Cs.1.1	$274014$	$144$	$3$	$7.464675856$	$1$		$2$	$334368$	$2.136539$	$1510256987478812234375/924784759817371648$	$0.99580$	$4.72374$	$[1, 0, 1, 239024, -10823394]$	\(y^2+xy+y=x^3+239024x-10823394\)	3.24.0-3.a.1.1, 10539.72.0.?, 30446.2.0.?, 91338.48.1.?, 274014.144.3.?	$[(19825/21, 852167/21)]$
30446.b1	30446g1	30446.b	30446g	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{14} \cdot 13 \cdot 1171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$30446$	$2$	$0$	$1.531653584$	$1$		$2$	$16800$	$0.293198$	$-22164361129/249413632$	$0.93153$	$2.59979$	$[1, 0, 1, -59, 774]$	\(y^2+xy+y=x^3-59x+774\)	30446.2.0.?	$[(47, 296)]$
30446.c1	30446a1	30446.c	30446a	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( 2^{4} \cdot 13^{2} \cdot 1171 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4684$	$2$	$0$	$0.673965740$	$1$		$34$	$9856$	$-0.058079$	$6826561273/3166384$	$0.76802$	$2.19341$	$[1, 1, 0, -39, -59]$	\(y^2+xy=x^3+x^2-39x-59\)	4684.2.0.?	$[(-3, 8), (10, 21), (-5, 9)]$
30446.d1	30446e1	30446.d	30446e	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{7} \cdot 13^{2} \cdot 1171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9368$	$2$	$0$	$0.677132271$	$1$		$4$	$9072$	$0.255822$	$-3779648905033/25331072$	$0.81470$	$2.80637$	$[1, 1, 0, -324, 2128]$	\(y^2+xy=x^3+x^2-324x+2128\)	9368.2.0.?	$[(9, 2)]$
30446.e1	30446c1	30446.e	30446c	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( 2^{2} \cdot 13^{2} \cdot 1171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4684$	$2$	$0$	$0.471323148$	$1$		$4$	$4480$	$-0.138643$	$6321363049/791596$	$0.85660$	$2.18596$	$[1, 0, 1, -39, 78]$	\(y^2+xy+y=x^3-39x+78\)	4684.2.0.?	$[(-3, 14)]$
30446.f1	30446d2	30446.f	30446d	$2$	$3$	\( 2 \cdot 13 \cdot 1171 \)	\( 2^{18} \cdot 13^{2} \cdot 1171^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$14052$	$16$	$0$	$1.723669262$	$1$		$0$	$321408$	$1.923306$	$124137466544322579817/71137289216720896$	$0.97070$	$4.48171$	$[1, 0, 1, -103927, -1282982]$	\(y^2+xy+y=x^3-103927x-1282982\)	3.8.0-3.a.1.1, 4684.2.0.?, 14052.16.0.?	$[(-30961/11, 4066708/11)]$
30446.f2	30446d1	30446.f	30446d	$2$	$3$	\( 2 \cdot 13 \cdot 1171 \)	\( 2^{6} \cdot 13^{6} \cdot 1171 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$14052$	$16$	$0$	$5.171007788$	$1$		$2$	$107136$	$1.373999$	$34150759536102366457/361740373696$	$0.91972$	$4.35670$	$[1, 0, 1, -67592, 6758038]$	\(y^2+xy+y=x^3-67592x+6758038\)	3.8.0-3.a.1.2, 4684.2.0.?, 14052.16.0.?	$[(5401/7, 257461/7)]$
30446.g1	30446b1	30446.g	30446b	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2 \cdot 13^{4} \cdot 1171 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9368$	$2$	$0$	$1$	$1$		$0$	$9696$	$0.191013$	$115572468311/66889862$	$0.90614$	$2.46744$	$[1, 0, 1, 101, 4]$	\(y^2+xy+y=x^3+101x+4\)	9368.2.0.?	$[]$
30446.h1	30446i1	30446.h	30446i	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{20} \cdot 13 \cdot 1171 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$30446$	$2$	$0$	$0.282207221$	$1$		$22$	$34240$	$0.688004$	$-108948243772081/15962472448$	$0.84605$	$3.15270$	$[1, 0, 0, -995, 13441]$	\(y^2+xy=x^3-995x+13441\)	30446.2.0.?	$[(46, 233), (14, 41)]$
30446.i1	30446m1	30446.i	30446m	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{8} \cdot 13^{5} \cdot 1171 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$30446$	$2$	$0$	$0.399893210$	$1$		$20$	$48000$	$0.798531$	$-6570725617/111304730368$	$0.92903$	$3.18590$	$[1, 0, 0, -39, -16055]$	\(y^2+xy=x^3-39x-16055\)	30446.2.0.?	$[(78, 637), (143/2, 1209/2)]$
30446.j1	30446k1	30446.j	30446k	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( 2^{6} \cdot 13^{2} \cdot 1171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4684$	$2$	$0$	$0.350841612$	$1$		$6$	$6912$	$0.053199$	$22737343537/12665536$	$0.80422$	$2.30995$	$[1, 1, 1, -59, 9]$	\(y^2+xy+y=x^3+x^2-59x+9\)	4684.2.0.?	$[(-3, 14)]$
30446.k1	30446h1	30446.k	30446h	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{2} \cdot 13^{5} \cdot 1171^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$30446$	$2$	$0$	$1$	$1$		$0$	$204480$	$1.636053$	$1592034799443503247/2384775152727292$	$0.98946$	$4.10456$	$[1, -1, 1, 24326, -1846635]$	\(y^2+xy+y=x^3-x^2+24326x-1846635\)	30446.2.0.?	$[]$
30446.l1	30446j1	30446.l	30446j	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( 2^{4} \cdot 13^{4} \cdot 1171 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4684$	$2$	$0$	$3.420819778$	$1$		$0$	$96000$	$1.232471$	$40197418128703495009/535118896$	$0.92049$	$4.37249$	$[1, 0, 0, -71366, -7344076]$	\(y^2+xy=x^3-71366x-7344076\)	4684.2.0.?	$[(-34724/15, 261106/15)]$
30446.m1	30446l1	30446.m	30446l	$1$	$1$	\( 2 \cdot 13 \cdot 1171 \)	\( - 2^{2} \cdot 13^{3} \cdot 1171 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$30446$	$2$	$0$	$1$	$1$		$0$	$7584$	$0.025661$	$-244140625/10290748$	$0.95072$	$2.28746$	$[1, 1, 1, -13, -161]$	\(y^2+xy+y=x^3+x^2-13x-161\)	30446.2.0.?	$[]$