Elliptic curves over Q\Q of conductor 175

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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
175.a1	175a2	175.a	175a	$2$	$5$	$5^{2} \cdot 7$	$- 5^{3} \cdot 7^{5}$	$1$	$\Z/5\Z$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.1	5B.1.1	$70$	$48$	$1$	$0.664629997$	$1$		$14$	$40$	$0.054193$	$-2887553024/16807$	$0.98803$	$5.15452$	$[0, -1, 1, -148, 748]$	$y^2+y=x^3-x^2-148x+748$	5.24.0-5.a.1.2, 70.48.1-70.d.1.4	$[(7, 2)]$
175.a2	175a1	175.a	175a	$2$	$5$	$5^{2} \cdot 7$	$- 5^{3} \cdot 7$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.3	5B.1.2	$70$	$48$	$1$	$0.132925999$	$1$		$10$	$8$	$-0.750526$	$4096/7$	$0.98030$	$2.67494$	$[0, -1, 1, 2, -2]$	$y^2+y=x^3-x^2+2x-2$	5.24.0-5.a.2.2, 70.48.1-70.d.2.4	$[(2, 2)]$
175.b1	175b3	175.b	175b	$3$	$9$	$5^{2} \cdot 7$	$- 5^{15} \cdot 7$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$630$	$144$	$3$	$0.833160004$	$1$		$4$	$144$	$0.932181$	$-250523582464/13671875$	$1.02112$	$6.96903$	$[0, -1, 1, -3283, -74657]$	$y^2+y=x^3-x^2-3283x-74657$	3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 42.8.0-3.a.1.1, 45.24.0-9.a.1.2, $\ldots$	$[(397, 7812)]$
175.b2	175b1	175.b	175b	$3$	$9$	$5^{2} \cdot 7$	$- 5^{7} \cdot 7$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.1	3B	$630$	$144$	$3$	$0.092573333$	$1$		$8$	$16$	$-0.166431$	$-262144/35$	$0.88715$	$4.32561$	$[0, -1, 1, -33, 93]$	$y^2+y=x^3-x^2-33x+93$	3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 42.8.0-3.a.1.2, 45.24.0-9.a.1.1, $\ldots$	$[(-3, 12)]$
175.b3	175b2	175.b	175b	$3$	$9$	$5^{2} \cdot 7$	$- 5^{9} \cdot 7^{3}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.12.0.1	3Cs	$630$	$144$	$3$	$0.277720001$	$1$		$6$	$48$	$0.382875$	$71991296/42875$	$1.06493$	$5.37267$	$[0, -1, 1, 217, -282]$	$y^2+y=x^3-x^2+217x-282$	3.12.0.a.1, 15.24.0-3.a.1.1, 42.24.0-3.a.1.1, 63.36.0.b.1, 70.2.0.a.1, $\ldots$	$[(12, 62)]$
175.c1	175c2	175.c	175c	$2$	$5$	$5^{2} \cdot 7$	$- 5^{9} \cdot 7^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.2	5B.1.4	$70$	$48$	$1$	$1$	$1$		$0$	$200$	$0.858912$	$-2887553024/16807$	$0.98803$	$7.02423$	$[0, 1, 1, -3708, 86119]$	$y^2+y=x^3+x^2-3708x+86119$	5.24.0-5.a.1.1, 70.48.1-70.d.1.2	$[]$
175.c2	175c1	175.c	175c	$2$	$5$	$5^{2} \cdot 7$	$- 5^{9} \cdot 7$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$70$	$48$	$1$	$1$	$1$		$0$	$40$	$0.054193$	$4096/7$	$0.98030$	$4.54465$	$[0, 1, 1, 42, -131]$	$y^2+y=x^3+x^2+42x-131$	5.24.0-5.a.2.1, 70.48.1-70.d.2.3	$[]$

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