Elliptic curve search results

Results (14 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
19950.g1	19950f1	19950.g	19950f	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$38400$	$0.877556$	$-120670225/15162$	$0.92823$	$3.52485$	$[1, 1, 0, -2200, -44750]$	\(y^2+xy=x^3+x^2-2200x-44750\)	168.2.0.?	$[]$
19950.cu1	19950dc1	19950.cu	19950dc	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{4} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.072837$	$-120670225/15162$	$0.92823$	$2.54953$	$[1, 0, 0, -88, -358]$	\(y^2+xy=x^3-88x-358\)	168.2.0.?	$[]$
59850.bf1	59850cr1	59850.bf	59850cr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.480877759$	$1$		$4$	$61440$	$0.622143$	$-120670225/15162$	$0.92823$	$2.89415$	$[1, -1, 0, -792, 9666]$	\(y^2+xy=x^3-x^2-792x+9666\)	168.2.0.?	$[(3, 84)]$
59850.gb1	59850ff1	59850.gb	59850ff	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$307200$	$1.426861$	$-120670225/15162$	$0.92823$	$3.77206$	$[1, -1, 1, -19805, 1188447]$	\(y^2+xy+y=x^3-x^2-19805x+1188447\)	168.2.0.?	$[]$
139650.di1	139650gn1	139650.di	139650gn	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 7^{7} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1843200$	$1.850510$	$-120670225/15162$	$0.92823$	$3.93140$	$[1, 0, 1, -107826, 15025798]$	\(y^2+xy+y=x^3-107826x+15025798\)	168.2.0.?	$[]$
139650.fd1	139650da1	139650.fd	139650da	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.427016290$	$1$		$0$	$368640$	$1.045792$	$-120670225/15162$	$0.92823$	$3.11628$	$[1, 1, 1, -4313, 118481]$	\(y^2+xy+y=x^3+x^2-4313x+118481\)	168.2.0.?	$[(-109/2, 3829/2)]$
159600.cy1	159600de1	159600.cy	159600de	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.569866320$	$1$		$4$	$184320$	$0.765984$	$-120670225/15162$	$0.92823$	$2.80128$	$[0, -1, 0, -1408, 22912]$	\(y^2=x^3-x^2-1408x+22912\)	168.2.0.?	$[(42, 190)]$
159600.eq1	159600cg1	159600.eq	159600cg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$921600$	$1.570704$	$-120670225/15162$	$0.92823$	$3.60732$	$[0, 1, 0, -35208, 2793588]$	\(y^2=x^3+x^2-35208x+2793588\)	168.2.0.?	$[]$
379050.j1	379050j1	379050.j	379050j	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2 \cdot 3 \cdot 5^{4} \cdot 7 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.996157951$	$1$		$4$	$2764800$	$1.545055$	$-120670225/15162$	$0.92823$	$3.34045$	$[1, 1, 0, -31775, 2391975]$	\(y^2+xy=x^3+x^2-31775x+2391975\)	168.2.0.?	$[(55, 875)]$
379050.jh1	379050jh1	379050.jh	379050jh	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2 \cdot 3 \cdot 5^{10} \cdot 7 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$42.77917941$	$1$		$0$	$13824000$	$2.349773$	$-120670225/15162$	$0.92823$	$4.09220$	$[1, 0, 0, -794388, 300585642]$	\(y^2+xy=x^3-794388x+300585642\)	168.2.0.?	$[(66738881941898902343/248189866, 399664343485787164581255536885/248189866)]$
418950.fl1	418950fl1	418950.fl	418950fl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{4} \cdot 7^{7} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.206754141$	$1$		$4$	$2949120$	$1.595098$	$-120670225/15162$	$0.92823$	$3.36101$	$[1, -1, 0, -38817, -3237809]$	\(y^2+xy=x^3-x^2-38817x-3237809\)	168.2.0.?	$[(779, 20558)]$
418950.ot1	418950ot1	418950.ot	418950ot	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 7^{7} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$6.978542246$	$1$		$0$	$14745600$	$2.399818$	$-120670225/15162$	$0.92823$	$4.10695$	$[1, -1, 1, -970430, -405696553]$	\(y^2+xy+y=x^3-x^2-970430x-405696553\)	168.2.0.?	$[(38973/4, 6838225/4)]$
478800.cb1	478800cb1	478800.cb	478800cb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{10} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$7372800$	$2.120010$	$-120670225/15162$	$0.92823$	$3.80830$	$[0, 0, 0, -316875, -75743750]$	\(y^2=x^3-316875x-75743750\)	168.2.0.?	$[]$
478800.ku1	478800ku1	478800.ku	478800ku	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{13} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$1474560$	$1.315290$	$-120670225/15162$	$0.92823$	$3.06997$	$[0, 0, 0, -12675, -605950]$	\(y^2=x^3-12675x-605950\)	168.2.0.?	$[]$