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Lowest zero Conductor Analytic conductor Central character Analytic rank
Degree Bad \(p\) Root analytic conductor Motivic weight Spectral label
Root angle Primitive Origin Exclude origin Self-dual
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Results (18 matches)

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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-1215-15.14-c0-0-0 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 15.14 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $0.895066$ Modular form 1215.1.d.a.1214.1
2-1215-15.14-c0-0-1 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 15.14 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $0.938118$ Modular form 1215.1.d.a.1214.2
2-1215-15.14-c0-0-2 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 15.14 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.19443$ Artin representation 2.1215.9t3.a.a Modular form 1215.1.d.b.1214.1
2-1215-15.14-c0-0-3 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 15.14 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.36087$ Artin representation 2.1215.9t3.a.c Modular form 1215.1.d.b.1214.2
2-1215-15.14-c0-0-4 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 15.14 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $1.98247$ Modular form 1215.1.d.a.1214.3
2-1215-15.14-c0-0-5 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 15.14 $0.0$ 0 ✓ ✓ ✓ $0$ $0$ $2.07239$ Artin representation 2.1215.9t3.a.b Modular form 1215.1.d.b.1214.3
2-1215-45.14-c0-0-0 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.14 $0.0$ 0 ✓ ✓ $-0.222$ $0$ $0.176495$ Modular form 1215.1.h.a.404.1
2-1215-45.14-c0-0-1 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.14 $0.0$ 0 ✓ ✓ $0.444$ $0$ $0.915388$ Modular form 1215.1.h.a.404.3
2-1215-45.14-c0-0-2 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.14 $0.0$ 0 ✓ ✓ $0.111$ $0$ $1.38852$ Modular form 1215.1.h.a.404.2
2-1215-45.14-c0-0-3 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.14 $0.0$ 0 ✓ ✓ $0.444$ $0$ $1.53750$ Modular form 1215.1.h.b.404.1
2-1215-45.14-c0-0-4 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.14 $0.0$ 0 ✓ ✓ $-0.222$ $0$ $1.60691$ Modular form 1215.1.h.b.404.3
2-1215-45.14-c0-0-5 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.14 $0.0$ 0 ✓ ✓ $0.111$ $0$ $2.01684$ Modular form 1215.1.h.b.404.2
2-1215-45.29-c0-0-0 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.29 $0.0$ 0 ✓ ✓ $-0.444$ $0$ $0.836481$ Modular form 1215.1.h.b.809.1
2-1215-45.29-c0-0-1 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.29 $0.0$ 0 ✓ ✓ $-0.111$ $0$ $1.17277$ Modular form 1215.1.h.a.809.2
2-1215-45.29-c0-0-2 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.29 $0.0$ 0 ✓ ✓ $-0.111$ $0$ $1.30717$ Modular form 1215.1.h.b.809.2
2-1215-45.29-c0-0-3 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.29 $0.0$ 0 ✓ ✓ $0.222$ $0$ $1.66709$ Modular form 1215.1.h.b.809.3
2-1215-45.29-c0-0-4 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.29 $0.0$ 0 ✓ ✓ $0.222$ $0$ $1.89688$ Modular form 1215.1.h.a.809.1
2-1215-45.29-c0-0-5 $0.778$ $0.606$ $2$ $3^{5} \cdot 5$ 45.29 $0.0$ 0 ✓ ✓ $-0.444$ $0$ $2.77737$ Modular form 1215.1.h.a.809.3
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