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Base field	Conductor norm	Rank*	Torsion order	CM discriminant

Base field degree/signature	Bad $p$	$\Q$-curves	Torsion structure	CM

Analytic order of Ш*	Cyclic isogeny degree	Isogeny class size	Reduction	Galois image

j-invariant	Regulator*	Curves per isogeny class	Isogeny class degree	Nonmax$\ \ell$

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
17.1-a1	17.1-a	$4$	$6$	4.4.14272.1	$4$	$[4, 0]$	17.1	$ 17 $	$ 17^{2} $	$15.21203$	$(a^3-3a^2-2a+2)$	0	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B	$9$	$ 2 $	$1$	$94.42352016$	3.556724957	$ \frac{13834806373280509636740011174}{289} a^{3} - \frac{37580309182394739748115559673}{289} a^{2} - \frac{42253016405658218695644998246}{289} a + \frac{57937966910413693362695212289}{289} $	$ \bigl[a$ , $ -2 a^{3} + 5 a^{2} + 5 a - 4$ , $ a^{3} - 2 a^{2} - 3 a + 2$ , $ 436 a^{3} - 541 a^{2} - 2889 a - 1731$ , $ -12800 a^{3} + 12436 a^{2} + 73729 a + 42292\bigr] $	${y}^2+a{x}{y}+\left(a^{3}-2a^{2}-3a+2\right){y}={x}^{3}+\left(-2a^{3}+5a^{2}+5a-4\right){x}^{2}+\left(436a^{3}-541a^{2}-2889a-1731\right){x}-12800a^{3}+12436a^{2}+73729a+42292$
17.1-b1	17.1-b	$4$	$6$	4.4.14272.1	$4$	$[4, 0]$	17.1	$ 17 $	$ 17^{2} $	$15.21203$	$(a^3-3a^2-2a+2)$	$1$	$\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$			✓		$2, 3$	2B, 3B.1.2	$9$	$ 2 $	$3.490744549$	$4.207340861$	2.212869756	$ \frac{13834806373280509636740011174}{289} a^{3} - \frac{37580309182394739748115559673}{289} a^{2} - \frac{42253016405658218695644998246}{289} a + \frac{57937966910413693362695212289}{289} $	$ \bigl[2 a^{3} - 5 a^{2} - 6 a + 5$ , $ 0$ , $ 2 a^{3} - 5 a^{2} - 6 a + 5$ , $ -848 a^{3} + 2260 a^{2} + 2564 a - 3510$ , $ -22808 a^{3} + 61558 a^{2} + 69436 a - 95032\bigr] $	${y}^2+\left(2a^{3}-5a^{2}-6a+5\right){x}{y}+\left(2a^{3}-5a^{2}-6a+5\right){y}={x}^{3}+\left(-848a^{3}+2260a^{2}+2564a-3510\right){x}-22808a^{3}+61558a^{2}+69436a-95032$

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*The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.

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