Rational L-function search results

Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank
Degree	Bad \(p\)	Root analytic conductor	Motivic weight	Spectral label
Root number	Primitive	Origin	Exclude origin

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Results (13 matches)

Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-1260e4-1.1-c1e4-0-0	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.147199$	Modular form 1260.2.s.f
8-1260e4-1.1-c1e4-0-1	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.248457$	Modular form 1260.2.c.a
8-1260e4-1.1-c1e4-0-10	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.521673$	Modular form 1260.2.bm.a
8-1260e4-1.1-c1e4-0-11	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.552044$	Modular form 1260.2.d.a
8-1260e4-1.1-c1e4-0-12	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.612632$	Modular form 1260.2.l.a
8-1260e4-1.1-c1e4-0-2	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.273472$	Modular form 1260.2.di.a
8-1260e4-1.1-c1e4-0-3	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.341325$	Modular form 1260.2.bv.a
8-1260e4-1.1-c1e4-0-4	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.353905$	Modular form 1260.2.bm.b
8-1260e4-1.1-c1e4-0-5	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.354677$	Modular form 1260.2.s.e
8-1260e4-1.1-c1e4-0-6	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.396726$	Modular form 1260.2.l.b
8-1260e4-1.1-c1e4-0-7	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.407301$	Modular form 1260.2.c.b
8-1260e4-1.1-c1e4-0-8	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.443210$	Modular form 1260.2.by.a
8-1260e4-1.1-c1e4-0-9	$3.17$	$1.02\times 10^{4}$	$8$	$2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4}$	1.1	$$	$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.467684$	Modular form 1260.2.d.b