Rational L-function search results

Results (1-50 of 2025814 matches)

 

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
2-11-1.1-c1-0-0	$0.296$	$0.0878$	$2$	$11$	1.1		$1.0$	$1$	✓	$1$	$0$	$6.36261$	Elliptic curve 11.a Modular form 11.2.a.a Modular form 11.2.a.a.1.1
4-13e2-1.1-c1e2-0-0	$0.322$	$0.0107$	$4$	$13^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$5.06823$	Genus 2 curve 169.a Modular form 13.2.e.a
2-14-1.1-c1-0-0	$0.334$	$0.111$	$2$	$2 \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$5.57928$	Elliptic curve 14.a Modular form 14.2.a.a Modular form 14.2.a.a.1.1
4-14e2-1.1-c1e2-0-0	$0.334$	$0.0124$	$4$	$2^{2} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$5.57928$	Genus 2 curve 196.a
2-15-1.1-c1-0-0	$0.346$	$0.119$	$2$	$3 \cdot 5$	1.1		$1.0$	$1$	✓	$1$	$0$	$5.23920$	Elliptic curve 15.a Modular form 15.2.a.a Modular form 15.2.a.a.1.1
4-249-1.1-c1e2-0-0	$0.354$	$0.0158$	$4$	$3 \cdot 83$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.45419$	Genus 2 curve 249.a
4-2e8-1.1-c1e2-0-0	$0.357$	$0.0163$	$4$	$2^{8}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.38815$	Genus 2 curve 256.a Modular form 16.2.e.a
4-277-1.1-c1e2-0-0	$0.364$	$0.0176$	$4$	$277$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.30532$	Genus 2 curve 277.a
2-17-1.1-c1-0-0	$0.368$	$0.135$	$2$	$17$	1.1		$1.0$	$1$	✓	$1$	$0$	$4.74199$	Elliptic curve 17.a Modular form 17.2.a.a Modular form 17.2.a.a.1.1
8-17e4-1.1-c1e4-0-0	$0.368$	$0.000339$	$8$	$17^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$3.48616$	Modular form 17.2.d.a
4-294-1.1-c1e2-0-0	$0.370$	$0.0187$	$4$	$2 \cdot 3 \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.13559$	Genus 2 curve 294.a
4-295-1.1-c1e2-0-0	$0.370$	$0.0188$	$4$	$5 \cdot 59$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.12033$	Genus 2 curve 295.a
4-18e2-1.1-c1e2-0-0	$0.379$	$0.0206$	$4$	$2^{2} \cdot 3^{4}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.36179$	Genus 2 curve 324.a Modular form 18.2.c.a
4-336-1.1-c1e2-0-0	$0.382$	$0.0214$	$4$	$2^{4} \cdot 3 \cdot 7$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.25303$	Genus 2 curve 336.a
4-349-1.1-c1e2-0-0	$0.386$	$0.0222$	$4$	$349$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.69794$	Genus 2 curve 349.a
4-353-1.1-c1e2-0-0	$0.387$	$0.0225$	$4$	$353$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.23852$	Genus 2 curve 353.a
4-360-1.1-c1e2-0-0	$0.389$	$0.0229$	$4$	$2^{3} \cdot 3^{2} \cdot 5$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.25303$	Genus 2 curve 360.a
2-19-1.1-c1-0-0	$0.389$	$0.151$	$2$	$19$	1.1		$1.0$	$1$	✓	$1$	$0$	$5.03912$	Elliptic curve 19.a Modular form 19.2.a.a Modular form 19.2.a.a.1.1
12-19e6-1.1-c1e6-0-0	$0.389$	$1.21\times 10^{-5}$	$12$	$19^{6}$	1.1		$[1.0]^{6}$	$1$		$1$	$0$	$2.95600$	Modular form 19.2.e.a
4-363-1.1-c1e2-0-0	$0.390$	$0.0231$	$4$	$3 \cdot 11^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.20407$	Genus 2 curve 363.a
4-388-1.1-c1e2-0-0	$0.396$	$0.0247$	$4$	$2^{2} \cdot 97$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.02372$	Genus 2 curve 388.a
4-389-1.1-c1e2-0-0	$0.396$	$0.0248$	$4$	$389$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.96910$	Genus 2 curve 389.a
4-394-1.1-c1e2-0-0	$0.398$	$0.0251$	$4$	$2 \cdot 197$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.06198$	Genus 2 curve 394.a
2-20-1.1-c1-0-0	$0.399$	$0.159$	$2$	$2^{2} \cdot 5$	1.1		$1.0$	$1$	✓	$1$	$0$	$4.78130$	Elliptic curve 20.a Modular form 20.2.a.a Modular form 20.2.a.a.1.1
4-20e2-1.1-c1e2-0-0	$0.399$	$0.0255$	$4$	$2^{4} \cdot 5^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.63351$	Elliptic curve 2.0.4.1-25.1-CMa Elliptic curve 2.0.4.1-25.3-CMa Modular form 20.2.e.a
4-20e2-1.1-c1e2-0-1	$0.399$	$0.0255$	$4$	$2^{4} \cdot 5^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.78130$	Genus 2 curve 400.a
4-427-1.1-c1e2-0-0	$0.406$	$0.0272$	$4$	$7 \cdot 61$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.45243$	Genus 2 curve 427.a
2-21-1.1-c1-0-0	$0.409$	$0.167$	$2$	$3 \cdot 7$	1.1		$1.0$	$1$	✓	$1$	$0$	$4.13559$	Elliptic curve 21.a Modular form 21.2.a.a Modular form 21.2.a.a.1.1
4-21e2-1.1-c1e2-0-0	$0.409$	$0.0281$	$4$	$3^{2} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.25829$	Modular form 21.2.e.a
4-21e2-1.1-c1e2-0-1	$0.409$	$0.0281$	$4$	$3^{2} \cdot 7^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.46412$	Elliptic curve 2.0.3.1-49.1-CMa Elliptic curve 2.0.3.1-49.3-CMa Modular form 21.2.g.a
4-448-1.1-c1e2-0-0	$0.411$	$0.0285$	$4$	$2^{6} \cdot 7$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.67478$	Genus 2 curve 448.a
4-450-1.1-c1e2-0-0	$0.411$	$0.0286$	$4$	$2 \cdot 3^{2} \cdot 5^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.36585$	Genus 2 curve 450.a
4-461-1.1-c1e2-0-0	$0.414$	$0.0293$	$4$	$461$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$4.16569$	Genus 2 curve 461.a
4-464-1.1-c1e2-0-0	$0.414$	$0.0295$	$4$	$2^{4} \cdot 29$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.78898$	Genus 2 curve 464.a
4-472-1.1-c1e2-0-0	$0.416$	$0.0300$	$4$	$2^{3} \cdot 59$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.72892$	Genus 2 curve 472.a
4-476-1.1-c1e2-0-0	$0.417$	$0.0303$	$4$	$2^{2} \cdot 7 \cdot 17$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.90229$	Genus 2 curve 476.a
4-22e2-1.1-c1e2-0-0	$0.419$	$0.0308$	$4$	$2^{2} \cdot 11^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.27381$	Genus 2 curve 484.a
8-22e4-1.1-c1e4-0-0	$0.419$	$0.000952$	$8$	$2^{4} \cdot 11^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$3.65206$	Modular form 22.2.c.a
4-504-1.1-c1e2-0-0	$0.423$	$0.0321$	$4$	$2^{3} \cdot 3^{2} \cdot 7$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.13559$	Genus 2 curve 504.a
4-523-1.1-c1e2-0-0	$0.427$	$0.0333$	$4$	$523$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.83200$	Genus 2 curve 523.a
20-23e10-1.1-c1e10-0-0	$0.428$	$4.36\times 10^{-8}$	$20$	$23^{10}$	1.1		$[1.0]^{10}$	$1$		$1$	$0$	$2.19372$	Modular form 23.2.c.a
4-23e2-1.1-c1e2-0-0	$0.428$	$0.0337$	$4$	$23^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.67521$	Genus 2 curve 529.a Modular form 23.2.a.a
4-555-1.1-c1e2-0-0	$0.433$	$0.0353$	$4$	$3 \cdot 5 \cdot 37$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.67549$	Genus 2 curve 555.a
4-574-1.1-c1e2-0-0	$0.437$	$0.0365$	$4$	$2 \cdot 7 \cdot 41$	1.1		$1.0, 1.0$	$1$	✓	$1$	$0$	$3.93159$	Genus 2 curve 574.a
2-24-1.1-c1-0-0	$0.437$	$0.191$	$2$	$2^{3} \cdot 3$	1.1		$1.0$	$1$	✓	$1$	$0$	$4.25303$	Elliptic curve 24.a Modular form 24.2.a.a Modular form 24.2.a.a.1.1
4-24e2-1.1-c1e2-0-0	$0.437$	$0.0367$	$4$	$2^{6} \cdot 3^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.03882$	Elliptic curve 2.2.8.1-9.1-a Genus 2 curve 576.a Hilbert modular form 2.2.8.1-9.1-a Modular form 24.2.d.a
4-24e2-1.1-c1e2-0-1	$0.437$	$0.0367$	$4$	$2^{6} \cdot 3^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.79734$	Elliptic curve 2.0.8.1-9.1-CMa Elliptic curve 2.0.8.1-9.3-CMa Elliptic curve 2.2.24.1-1.1-a Hilbert modular form 2.2.24.1-1.1-a Modular form 24.2.f.a
4-24e2-1.1-c1e2-0-2	$0.437$	$0.0367$	$4$	$2^{6} \cdot 3^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$4.25303$	Genus 2 curve 576.b
4-578-1.1-c1e2-0-0	$0.438$	$0.0368$	$4$	$2 \cdot 17^{2}$	1.1		$1.0, 1.0$	$1$		$1$	$0$	$3.90229$	Genus 2 curve 578.a
4-587-1.1-c1e2-0-0	$0.439$	$0.0374$	$4$	$587$	1.1		$1.0, 1.0$	$1$	✓	$-1$	$1$	$4.54506$	Genus 2 curve 587.a